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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 = 78 -12x = 78 Divide each side by '-12'. x = -6.5 Simplifying x = -6.5
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