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Simplifying 9(x + -7) = 2(5x + 7) Reorder the terms: 9(-7 + x) = 2(5x + 7) (-7 * 9 + x * 9) = 2(5x + 7) (-63 + 9x) = 2(5x + 7) Reorder the terms: -63 + 9x = 2(7 + 5x) -63 + 9x = (7 * 2 + 5x * 2) -63 + 9x = (14 + 10x) Solving -63 + 9x = 14 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -63 + 9x + -10x = 14 + 10x + -10x Combine like terms: 9x + -10x = -1x -63 + -1x = 14 + 10x + -10x Combine like terms: 10x + -10x = 0 -63 + -1x = 14 + 0 -63 + -1x = 14 Add '63' to each side of the equation. -63 + 63 + -1x = 14 + 63 Combine like terms: -63 + 63 = 0 0 + -1x = 14 + 63 -1x = 14 + 63 Combine like terms: 14 + 63 = 77 -1x = 77 Divide each side by '-1'. x = -77 Simplifying x = -77
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