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Simplifying -2(x + -2) + -10(x + -2) + -4(x + -2) = 6(x + -11) + -11(x + -5) Reorder the terms: -2(-2 + x) + -10(x + -2) + -4(x + -2) = 6(x + -11) + -11(x + -5) (-2 * -2 + x * -2) + -10(x + -2) + -4(x + -2) = 6(x + -11) + -11(x + -5) (4 + -2x) + -10(x + -2) + -4(x + -2) = 6(x + -11) + -11(x + -5) Reorder the terms: 4 + -2x + -10(-2 + x) + -4(x + -2) = 6(x + -11) + -11(x + -5) 4 + -2x + (-2 * -10 + x * -10) + -4(x + -2) = 6(x + -11) + -11(x + -5) 4 + -2x + (20 + -10x) + -4(x + -2) = 6(x + -11) + -11(x + -5) Reorder the terms: 4 + -2x + 20 + -10x + -4(-2 + x) = 6(x + -11) + -11(x + -5) 4 + -2x + 20 + -10x + (-2 * -4 + x * -4) = 6(x + -11) + -11(x + -5) 4 + -2x + 20 + -10x + (8 + -4x) = 6(x + -11) + -11(x + -5) Reorder the terms: 4 + 20 + 8 + -2x + -10x + -4x = 6(x + -11) + -11(x + -5) Combine like terms: 4 + 20 = 24 24 + 8 + -2x + -10x + -4x = 6(x + -11) + -11(x + -5) Combine like terms: 24 + 8 = 32 32 + -2x + -10x + -4x = 6(x + -11) + -11(x + -5) Combine like terms: -2x + -10x = -12x 32 + -12x + -4x = 6(x + -11) + -11(x + -5) Combine like terms: -12x + -4x = -16x 32 + -16x = 6(x + -11) + -11(x + -5) Reorder the terms: 32 + -16x = 6(-11 + x) + -11(x + -5) 32 + -16x = (-11 * 6 + x * 6) + -11(x + -5) 32 + -16x = (-66 + 6x) + -11(x + -5) Reorder the terms: 32 + -16x = -66 + 6x + -11(-5 + x) 32 + -16x = -66 + 6x + (-5 * -11 + x * -11) 32 + -16x = -66 + 6x + (55 + -11x) Reorder the terms: 32 + -16x = -66 + 55 + 6x + -11x Combine like terms: -66 + 55 = -11 32 + -16x = -11 + 6x + -11x Combine like terms: 6x + -11x = -5x 32 + -16x = -11 + -5x Solving 32 + -16x = -11 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 32 + -16x + 5x = -11 + -5x + 5x Combine like terms: -16x + 5x = -11x 32 + -11x = -11 + -5x + 5x Combine like terms: -5x + 5x = 0 32 + -11x = -11 + 0 32 + -11x = -11 Add '-32' to each side of the equation. 32 + -32 + -11x = -11 + -32 Combine like terms: 32 + -32 = 0 0 + -11x = -11 + -32 -11x = -11 + -32 Combine like terms: -11 + -32 = -43 -11x = -43 Divide each side by '-11'. x = 3.909090909 Simplifying x = 3.909090909
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