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Simplifying -5(x + 1) + 5(4 + -1x) = 35 Reorder the terms: -5(1 + x) + 5(4 + -1x) = 35 (1 * -5 + x * -5) + 5(4 + -1x) = 35 (-5 + -5x) + 5(4 + -1x) = 35 -5 + -5x + (4 * 5 + -1x * 5) = 35 -5 + -5x + (20 + -5x) = 35 Reorder the terms: -5 + 20 + -5x + -5x = 35 Combine like terms: -5 + 20 = 15 15 + -5x + -5x = 35 Combine like terms: -5x + -5x = -10x 15 + -10x = 35 Solving 15 + -10x = 35 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -10x = 35 + -15 Combine like terms: 15 + -15 = 0 0 + -10x = 35 + -15 -10x = 35 + -15 Combine like terms: 35 + -15 = 20 -10x = 20 Divide each side by '-10'. x = -2 Simplifying x = -2
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