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Simplifying 6x + -2(x + -3) = 11(x + -2) Reorder the terms: 6x + -2(-3 + x) = 11(x + -2) 6x + (-3 * -2 + x * -2) = 11(x + -2) 6x + (6 + -2x) = 11(x + -2) Reorder the terms: 6 + 6x + -2x = 11(x + -2) Combine like terms: 6x + -2x = 4x 6 + 4x = 11(x + -2) Reorder the terms: 6 + 4x = 11(-2 + x) 6 + 4x = (-2 * 11 + x * 11) 6 + 4x = (-22 + 11x) Solving 6 + 4x = -22 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 6 + 4x + -11x = -22 + 11x + -11x Combine like terms: 4x + -11x = -7x 6 + -7x = -22 + 11x + -11x Combine like terms: 11x + -11x = 0 6 + -7x = -22 + 0 6 + -7x = -22 Add '-6' to each side of the equation. 6 + -6 + -7x = -22 + -6 Combine like terms: 6 + -6 = 0 0 + -7x = -22 + -6 -7x = -22 + -6 Combine like terms: -22 + -6 = -28 -7x = -28 Divide each side by '-7'. x = 4 Simplifying x = 4
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