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Simplifying 10x + 7 = 9(x + -7) + -6 Reorder the terms: 7 + 10x = 9(x + -7) + -6 Reorder the terms: 7 + 10x = 9(-7 + x) + -6 7 + 10x = (-7 * 9 + x * 9) + -6 7 + 10x = (-63 + 9x) + -6 Reorder the terms: 7 + 10x = -63 + -6 + 9x Combine like terms: -63 + -6 = -69 7 + 10x = -69 + 9x Solving 7 + 10x = -69 + 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. 7 + 10x + -9x = -69 + 9x + -9x Combine like terms: 10x + -9x = 1x 7 + 1x = -69 + 9x + -9x Combine like terms: 9x + -9x = 0 7 + 1x = -69 + 0 7 + 1x = -69 Add '-7' to each side of the equation. 7 + -7 + 1x = -69 + -7 Combine like terms: 7 + -7 = 0 0 + 1x = -69 + -7 1x = -69 + -7 Combine like terms: -69 + -7 = -76 1x = -76 Divide each side by '1'. x = -76 Simplifying x = -76
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