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Simplifying -5(x + -7) = -3(x + -1) Reorder the terms: -5(-7 + x) = -3(x + -1) (-7 * -5 + x * -5) = -3(x + -1) (35 + -5x) = -3(x + -1) Reorder the terms: 35 + -5x = -3(-1 + x) 35 + -5x = (-1 * -3 + x * -3) 35 + -5x = (3 + -3x) Solving 35 + -5x = 3 + -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 + -5x + 3x = 3 + -3x + 3x Combine like terms: -5x + 3x = -2x 35 + -2x = 3 + -3x + 3x Combine like terms: -3x + 3x = 0 35 + -2x = 3 + 0 35 + -2x = 3 Add '-35' to each side of the equation. 35 + -35 + -2x = 3 + -35 Combine like terms: 35 + -35 = 0 0 + -2x = 3 + -35 -2x = 3 + -35 Combine like terms: 3 + -35 = -32 -2x = -32 Divide each side by '-2'. x = 16 Simplifying x = 16
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