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