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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) 8 = -4 + 4x + 15 + -5x + (5 * 2 + -2x * 2) 8 = -4 + 4x + 15 + -5x + (10 + -4x) Reorder the terms: 8 = -4 + 15 + 10 + 4x + -5x + -4x Combine like terms: -4 + 15 = 11 8 = 11 + 10 + 4x + -5x + -4x Combine like terms: 11 + 10 = 21 8 = 21 + 4x + -5x + -4x Combine like terms: 4x + -5x = -1x 8 = 21 + -1x + -4x Combine like terms: -1x + -4x = -5x 8 = 21 + -5x Solving 8 = 21 + -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. 8 + 5x = 21 + -5x + 5x Combine like terms: -5x + 5x = 0 8 + 5x = 21 + 0 8 + 5x = 21 Add '-8' to each side of the equation. 8 + -8 + 5x = 21 + -8 Combine like terms: 8 + -8 = 0 0 + 5x = 21 + -8 5x = 21 + -8 Combine like terms: 21 + -8 = 13 5x = 13 Divide each side by '5'. x = 2.6 Simplifying x = 2.6
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