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Simplifying 3(x + -2) + -2(3 + -4x) = 10 + -2(x + -2) Reorder the terms: 3(-2 + x) + -2(3 + -4x) = 10 + -2(x + -2) (-2 * 3 + x * 3) + -2(3 + -4x) = 10 + -2(x + -2) (-6 + 3x) + -2(3 + -4x) = 10 + -2(x + -2) -6 + 3x + (3 * -2 + -4x * -2) = 10 + -2(x + -2) -6 + 3x + (-6 + 8x) = 10 + -2(x + -2) Reorder the terms: -6 + -6 + 3x + 8x = 10 + -2(x + -2) Combine like terms: -6 + -6 = -12 -12 + 3x + 8x = 10 + -2(x + -2) Combine like terms: 3x + 8x = 11x -12 + 11x = 10 + -2(x + -2) Reorder the terms: -12 + 11x = 10 + -2(-2 + x) -12 + 11x = 10 + (-2 * -2 + x * -2) -12 + 11x = 10 + (4 + -2x) Combine like terms: 10 + 4 = 14 -12 + 11x = 14 + -2x Solving -12 + 11x = 14 + -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. -12 + 11x + 2x = 14 + -2x + 2x Combine like terms: 11x + 2x = 13x -12 + 13x = 14 + -2x + 2x Combine like terms: -2x + 2x = 0 -12 + 13x = 14 + 0 -12 + 13x = 14 Add '12' to each side of the equation. -12 + 12 + 13x = 14 + 12 Combine like terms: -12 + 12 = 0 0 + 13x = 14 + 12 13x = 14 + 12 Combine like terms: 14 + 12 = 26 13x = 26 Divide each side by '13'. x = 2 Simplifying x = 2
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