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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 = 6x -63 + 6x = 15 + 3x + -3x Combine like terms: 3x + -3x = 0 -63 + 6x = 15 + 0 -63 + 6x = 15 Add '63' to each side of the equation. -63 + 63 + 6x = 15 + 63 Combine like terms: -63 + 63 = 0 0 + 6x = 15 + 63 6x = 15 + 63 Combine like terms: 15 + 63 = 78 6x = 78 Divide each side by '6'. x = 13 Simplifying x = 13
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