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Simplifying 10x + 7 = 9(x + -9) + -8 Reorder the terms: 7 + 10x = 9(x + -9) + -8 Reorder the terms: 7 + 10x = 9(-9 + x) + -8 7 + 10x = (-9 * 9 + x * 9) + -8 7 + 10x = (-81 + 9x) + -8 Reorder the terms: 7 + 10x = -81 + -8 + 9x Combine like terms: -81 + -8 = -89 7 + 10x = -89 + 9x Solving 7 + 10x = -89 + 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 = -89 + 9x + -9x Combine like terms: 10x + -9x = 1x 7 + 1x = -89 + 9x + -9x Combine like terms: 9x + -9x = 0 7 + 1x = -89 + 0 7 + 1x = -89 Add '-7' to each side of the equation. 7 + -7 + 1x = -89 + -7 Combine like terms: 7 + -7 = 0 0 + 1x = -89 + -7 1x = -89 + -7 Combine like terms: -89 + -7 = -96 1x = -96 Divide each side by '1'. x = -96 Simplifying x = -96
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