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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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