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Simplifying 10 + 9x = 14 + 8(x + -1) Reorder the terms: 10 + 9x = 14 + 8(-1 + x) 10 + 9x = 14 + (-1 * 8 + x * 8) 10 + 9x = 14 + (-8 + 8x) Combine like terms: 14 + -8 = 6 10 + 9x = 6 + 8x Solving 10 + 9x = 6 + 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 = 6 + 8x + -8x Combine like terms: 9x + -8x = 1x 10 + 1x = 6 + 8x + -8x Combine like terms: 8x + -8x = 0 10 + 1x = 6 + 0 10 + 1x = 6 Add '-10' to each side of the equation. 10 + -10 + 1x = 6 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = 6 + -10 1x = 6 + -10 Combine like terms: 6 + -10 = -4 1x = -4 Divide each side by '1'. x = -4 Simplifying x = -4
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