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Simplifying 4(x + -2) + -2x = 3x + -11(x + -2) Reorder the terms: 4(-2 + x) + -2x = 3x + -11(x + -2) (-2 * 4 + x * 4) + -2x = 3x + -11(x + -2) (-8 + 4x) + -2x = 3x + -11(x + -2) Combine like terms: 4x + -2x = 2x -8 + 2x = 3x + -11(x + -2) Reorder the terms: -8 + 2x = 3x + -11(-2 + x) -8 + 2x = 3x + (-2 * -11 + x * -11) -8 + 2x = 3x + (22 + -11x) Reorder the terms: -8 + 2x = 22 + 3x + -11x Combine like terms: 3x + -11x = -8x -8 + 2x = 22 + -8x Solving -8 + 2x = 22 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -8 + 2x + 8x = 22 + -8x + 8x Combine like terms: 2x + 8x = 10x -8 + 10x = 22 + -8x + 8x Combine like terms: -8x + 8x = 0 -8 + 10x = 22 + 0 -8 + 10x = 22 Add '8' to each side of the equation. -8 + 8 + 10x = 22 + 8 Combine like terms: -8 + 8 = 0 0 + 10x = 22 + 8 10x = 22 + 8 Combine like terms: 22 + 8 = 30 10x = 30 Divide each side by '10'. x = 3 Simplifying x = 3
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