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Simplifying 8 + 4(x + -1) + -5(x + -3) = 2(5 + -2x) Reorder the terms: 8 + 4(-1 + x) + -5(x + -3) = 2(5 + -2x) 8 + (-1 * 4 + x * 4) + -5(x + -3) = 2(5 + -2x) 8 + (-4 + 4x) + -5(x + -3) = 2(5 + -2x) Reorder the terms: 8 + -4 + 4x + -5(-3 + x) = 2(5 + -2x) 8 + -4 + 4x + (-3 * -5 + x * -5) = 2(5 + -2x) 8 + -4 + 4x + (15 + -5x) = 2(5 + -2x) Reorder the terms: 8 + -4 + 15 + 4x + -5x = 2(5 + -2x) Combine like terms: 8 + -4 = 4 4 + 15 + 4x + -5x = 2(5 + -2x) Combine like terms: 4 + 15 = 19 19 + 4x + -5x = 2(5 + -2x) Combine like terms: 4x + -5x = -1x 19 + -1x = 2(5 + -2x) 19 + -1x = (5 * 2 + -2x * 2) 19 + -1x = (10 + -4x) Solving 19 + -1x = 10 + -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. 19 + -1x + 4x = 10 + -4x + 4x Combine like terms: -1x + 4x = 3x 19 + 3x = 10 + -4x + 4x Combine like terms: -4x + 4x = 0 19 + 3x = 10 + 0 19 + 3x = 10 Add '-19' to each side of the equation. 19 + -19 + 3x = 10 + -19 Combine like terms: 19 + -19 = 0 0 + 3x = 10 + -19 3x = 10 + -19 Combine like terms: 10 + -19 = -9 3x = -9 Divide each side by '3'. x = -3 Simplifying x = -3
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