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Simplifying 10(x + 4) + -4(x + -2) = 3(x + -1) + 2(x + -3) Reorder the terms: 10(4 + x) + -4(x + -2) = 3(x + -1) + 2(x + -3) (4 * 10 + x * 10) + -4(x + -2) = 3(x + -1) + 2(x + -3) (40 + 10x) + -4(x + -2) = 3(x + -1) + 2(x + -3) Reorder the terms: 40 + 10x + -4(-2 + x) = 3(x + -1) + 2(x + -3) 40 + 10x + (-2 * -4 + x * -4) = 3(x + -1) + 2(x + -3) 40 + 10x + (8 + -4x) = 3(x + -1) + 2(x + -3) Reorder the terms: 40 + 8 + 10x + -4x = 3(x + -1) + 2(x + -3) Combine like terms: 40 + 8 = 48 48 + 10x + -4x = 3(x + -1) + 2(x + -3) Combine like terms: 10x + -4x = 6x 48 + 6x = 3(x + -1) + 2(x + -3) Reorder the terms: 48 + 6x = 3(-1 + x) + 2(x + -3) 48 + 6x = (-1 * 3 + x * 3) + 2(x + -3) 48 + 6x = (-3 + 3x) + 2(x + -3) Reorder the terms: 48 + 6x = -3 + 3x + 2(-3 + x) 48 + 6x = -3 + 3x + (-3 * 2 + x * 2) 48 + 6x = -3 + 3x + (-6 + 2x) Reorder the terms: 48 + 6x = -3 + -6 + 3x + 2x Combine like terms: -3 + -6 = -9 48 + 6x = -9 + 3x + 2x Combine like terms: 3x + 2x = 5x 48 + 6x = -9 + 5x Solving 48 + 6x = -9 + 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. 48 + 6x + -5x = -9 + 5x + -5x Combine like terms: 6x + -5x = 1x 48 + 1x = -9 + 5x + -5x Combine like terms: 5x + -5x = 0 48 + 1x = -9 + 0 48 + 1x = -9 Add '-48' to each side of the equation. 48 + -48 + 1x = -9 + -48 Combine like terms: 48 + -48 = 0 0 + 1x = -9 + -48 1x = -9 + -48 Combine like terms: -9 + -48 = -57 1x = -57 Divide each side by '1'. x = -57 Simplifying x = -57
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