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Simplifying 10x + 9 = 9(x + -7) + -6 Reorder the terms: 9 + 10x = 9(x + -7) + -6 Reorder the terms: 9 + 10x = 9(-7 + x) + -6 9 + 10x = (-7 * 9 + x * 9) + -6 9 + 10x = (-63 + 9x) + -6 Reorder the terms: 9 + 10x = -63 + -6 + 9x Combine like terms: -63 + -6 = -69 9 + 10x = -69 + 9x Solving 9 + 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. 9 + 10x + -9x = -69 + 9x + -9x Combine like terms: 10x + -9x = 1x 9 + 1x = -69 + 9x + -9x Combine like terms: 9x + -9x = 0 9 + 1x = -69 + 0 9 + 1x = -69 Add '-9' to each side of the equation. 9 + -9 + 1x = -69 + -9 Combine like terms: 9 + -9 = 0 0 + 1x = -69 + -9 1x = -69 + -9 Combine like terms: -69 + -9 = -78 1x = -78 Divide each side by '1'. x = -78 Simplifying x = -78
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