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Simplifying -3(x + -4) + 2(7x + 3) = 10(x + -1) + -2 Reorder the terms: -3(-4 + x) + 2(7x + 3) = 10(x + -1) + -2 (-4 * -3 + x * -3) + 2(7x + 3) = 10(x + -1) + -2 (12 + -3x) + 2(7x + 3) = 10(x + -1) + -2 Reorder the terms: 12 + -3x + 2(3 + 7x) = 10(x + -1) + -2 12 + -3x + (3 * 2 + 7x * 2) = 10(x + -1) + -2 12 + -3x + (6 + 14x) = 10(x + -1) + -2 Reorder the terms: 12 + 6 + -3x + 14x = 10(x + -1) + -2 Combine like terms: 12 + 6 = 18 18 + -3x + 14x = 10(x + -1) + -2 Combine like terms: -3x + 14x = 11x 18 + 11x = 10(x + -1) + -2 Reorder the terms: 18 + 11x = 10(-1 + x) + -2 18 + 11x = (-1 * 10 + x * 10) + -2 18 + 11x = (-10 + 10x) + -2 Reorder the terms: 18 + 11x = -10 + -2 + 10x Combine like terms: -10 + -2 = -12 18 + 11x = -12 + 10x Solving 18 + 11x = -12 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 18 + 11x + -10x = -12 + 10x + -10x Combine like terms: 11x + -10x = 1x 18 + 1x = -12 + 10x + -10x Combine like terms: 10x + -10x = 0 18 + 1x = -12 + 0 18 + 1x = -12 Add '-18' to each side of the equation. 18 + -18 + 1x = -12 + -18 Combine like terms: 18 + -18 = 0 0 + 1x = -12 + -18 1x = -12 + -18 Combine like terms: -12 + -18 = -30 1x = -30 Divide each side by '1'. x = -30 Simplifying x = -30
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