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Simplifying 10(x + 7) = 9(x + -7) + 7 Reorder the terms: 10(7 + x) = 9(x + -7) + 7 (7 * 10 + x * 10) = 9(x + -7) + 7 (70 + 10x) = 9(x + -7) + 7 Reorder the terms: 70 + 10x = 9(-7 + x) + 7 70 + 10x = (-7 * 9 + x * 9) + 7 70 + 10x = (-63 + 9x) + 7 Reorder the terms: 70 + 10x = -63 + 7 + 9x Combine like terms: -63 + 7 = -56 70 + 10x = -56 + 9x Solving 70 + 10x = -56 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 70 + 10x + -9x = -56 + 9x + -9x Combine like terms: 10x + -9x = 1x 70 + 1x = -56 + 9x + -9x Combine like terms: 9x + -9x = 0 70 + 1x = -56 + 0 70 + 1x = -56 Add '-70' to each side of the equation. 70 + -70 + 1x = -56 + -70 Combine like terms: 70 + -70 = 0 0 + 1x = -56 + -70 1x = -56 + -70 Combine like terms: -56 + -70 = -126 1x = -126 Divide each side by '1'. x = -126 Simplifying x = -126
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