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Simplifying 4x + 2(5 + -1x) = -1(x + 5) 4x + (5 * 2 + -1x * 2) = -1(x + 5) 4x + (10 + -2x) = -1(x + 5) Reorder the terms: 10 + 4x + -2x = -1(x + 5) Combine like terms: 4x + -2x = 2x 10 + 2x = -1(x + 5) Reorder the terms: 10 + 2x = -1(5 + x) 10 + 2x = (5 * -1 + x * -1) 10 + 2x = (-5 + -1x) Solving 10 + 2x = -5 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 10 + 2x + x = -5 + -1x + x Combine like terms: 2x + x = 3x 10 + 3x = -5 + -1x + x Combine like terms: -1x + x = 0 10 + 3x = -5 + 0 10 + 3x = -5 Add '-10' to each side of the equation. 10 + -10 + 3x = -5 + -10 Combine like terms: 10 + -10 = 0 0 + 3x = -5 + -10 3x = -5 + -10 Combine like terms: -5 + -10 = -15 3x = -15 Divide each side by '3'. x = -5 Simplifying x = -5
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