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Simplifying 9x + -10 = 8(x + -8) + -7 Reorder the terms: -10 + 9x = 8(x + -8) + -7 Reorder the terms: -10 + 9x = 8(-8 + x) + -7 -10 + 9x = (-8 * 8 + x * 8) + -7 -10 + 9x = (-64 + 8x) + -7 Reorder the terms: -10 + 9x = -64 + -7 + 8x Combine like terms: -64 + -7 = -71 -10 + 9x = -71 + 8x Solving -10 + 9x = -71 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -10 + 9x + -8x = -71 + 8x + -8x Combine like terms: 9x + -8x = 1x -10 + 1x = -71 + 8x + -8x Combine like terms: 8x + -8x = 0 -10 + 1x = -71 + 0 -10 + 1x = -71 Add '10' to each side of the equation. -10 + 10 + 1x = -71 + 10 Combine like terms: -10 + 10 = 0 0 + 1x = -71 + 10 1x = -71 + 10 Combine like terms: -71 + 10 = -61 1x = -61 Divide each side by '1'. x = -61 Simplifying x = -61
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