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Simplifying -2(3x + 1) + 10 = 3(x + -1) + 2x Reorder the terms: -2(1 + 3x) + 10 = 3(x + -1) + 2x (1 * -2 + 3x * -2) + 10 = 3(x + -1) + 2x (-2 + -6x) + 10 = 3(x + -1) + 2x Reorder the terms: -2 + 10 + -6x = 3(x + -1) + 2x Combine like terms: -2 + 10 = 8 8 + -6x = 3(x + -1) + 2x Reorder the terms: 8 + -6x = 3(-1 + x) + 2x 8 + -6x = (-1 * 3 + x * 3) + 2x 8 + -6x = (-3 + 3x) + 2x Combine like terms: 3x + 2x = 5x 8 + -6x = -3 + 5x Solving 8 + -6x = -3 + 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. 8 + -6x + -5x = -3 + 5x + -5x Combine like terms: -6x + -5x = -11x 8 + -11x = -3 + 5x + -5x Combine like terms: 5x + -5x = 0 8 + -11x = -3 + 0 8 + -11x = -3 Add '-8' to each side of the equation. 8 + -8 + -11x = -3 + -8 Combine like terms: 8 + -8 = 0 0 + -11x = -3 + -8 -11x = -3 + -8 Combine like terms: -3 + -8 = -11 -11x = -11 Divide each side by '-11'. x = 1 Simplifying x = 1
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