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