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Simplifying -3(x + -2) + -3(2x + -6) = 2(x + -1) + 10 Reorder the terms: -3(-2 + x) + -3(2x + -6) = 2(x + -1) + 10 (-2 * -3 + x * -3) + -3(2x + -6) = 2(x + -1) + 10 (6 + -3x) + -3(2x + -6) = 2(x + -1) + 10 Reorder the terms: 6 + -3x + -3(-6 + 2x) = 2(x + -1) + 10 6 + -3x + (-6 * -3 + 2x * -3) = 2(x + -1) + 10 6 + -3x + (18 + -6x) = 2(x + -1) + 10 Reorder the terms: 6 + 18 + -3x + -6x = 2(x + -1) + 10 Combine like terms: 6 + 18 = 24 24 + -3x + -6x = 2(x + -1) + 10 Combine like terms: -3x + -6x = -9x 24 + -9x = 2(x + -1) + 10 Reorder the terms: 24 + -9x = 2(-1 + x) + 10 24 + -9x = (-1 * 2 + x * 2) + 10 24 + -9x = (-2 + 2x) + 10 Reorder the terms: 24 + -9x = -2 + 10 + 2x Combine like terms: -2 + 10 = 8 24 + -9x = 8 + 2x Solving 24 + -9x = 8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 24 + -9x + -2x = 8 + 2x + -2x Combine like terms: -9x + -2x = -11x 24 + -11x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 24 + -11x = 8 + 0 24 + -11x = 8 Add '-24' to each side of the equation. 24 + -24 + -11x = 8 + -24 Combine like terms: 24 + -24 = 0 0 + -11x = 8 + -24 -11x = 8 + -24 Combine like terms: 8 + -24 = -16 -11x = -16 Divide each side by '-11'. x = 1.454545455 Simplifying x = 1.454545455
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