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Simplifying -5(x + -7) = 3(x + 6) + -7 Reorder the terms: -5(-7 + x) = 3(x + 6) + -7 (-7 * -5 + x * -5) = 3(x + 6) + -7 (35 + -5x) = 3(x + 6) + -7 Reorder the terms: 35 + -5x = 3(6 + x) + -7 35 + -5x = (6 * 3 + x * 3) + -7 35 + -5x = (18 + 3x) + -7 Reorder the terms: 35 + -5x = 18 + -7 + 3x Combine like terms: 18 + -7 = 11 35 + -5x = 11 + 3x Solving 35 + -5x = 11 + 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 = 11 + 3x + -3x Combine like terms: -5x + -3x = -8x 35 + -8x = 11 + 3x + -3x Combine like terms: 3x + -3x = 0 35 + -8x = 11 + 0 35 + -8x = 11 Add '-35' to each side of the equation. 35 + -35 + -8x = 11 + -35 Combine like terms: 35 + -35 = 0 0 + -8x = 11 + -35 -8x = 11 + -35 Combine like terms: 11 + -35 = -24 -8x = -24 Divide each side by '-8'. x = 3 Simplifying x = 3
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