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Simplifying 7(5 + -1x) = 3(x + -5) (5 * 7 + -1x * 7) = 3(x + -5) (35 + -7x) = 3(x + -5) Reorder the terms: 35 + -7x = 3(-5 + x) 35 + -7x = (-5 * 3 + x * 3) 35 + -7x = (-15 + 3x) Solving 35 + -7x = -15 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 35 + -7x + -3x = -15 + 3x + -3x Combine like terms: -7x + -3x = -10x 35 + -10x = -15 + 3x + -3x Combine like terms: 3x + -3x = 0 35 + -10x = -15 + 0 35 + -10x = -15 Add '-35' to each side of the equation. 35 + -35 + -10x = -15 + -35 Combine like terms: 35 + -35 = 0 0 + -10x = -15 + -35 -10x = -15 + -35 Combine like terms: -15 + -35 = -50 -10x = -50 Divide each side by '-10'. x = 5 Simplifying x = 5
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