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