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Simplifying -9(x + -7) = 3(x + 5) Reorder the terms: -9(-7 + x) = 3(x + 5) (-7 * -9 + x * -9) = 3(x + 5) (63 + -9x) = 3(x + 5) Reorder the terms: 63 + -9x = 3(5 + x) 63 + -9x = (5 * 3 + x * 3) 63 + -9x = (15 + 3x) Solving 63 + -9x = 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. 63 + -9x + -3x = 15 + 3x + -3x Combine like terms: -9x + -3x = -12x 63 + -12x = 15 + 3x + -3x Combine like terms: 3x + -3x = 0 63 + -12x = 15 + 0 63 + -12x = 15 Add '-63' to each side of the equation. 63 + -63 + -12x = 15 + -63 Combine like terms: 63 + -63 = 0 0 + -12x = 15 + -63 -12x = 15 + -63 Combine like terms: 15 + -63 = -48 -12x = -48 Divide each side by '-12'. x = 4 Simplifying x = 4
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