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Simplifying x + 8(x + 1) = 7 + -2(x + -4) Reorder the terms: x + 8(1 + x) = 7 + -2(x + -4) x + (1 * 8 + x * 8) = 7 + -2(x + -4) x + (8 + 8x) = 7 + -2(x + -4) Reorder the terms: 8 + x + 8x = 7 + -2(x + -4) Combine like terms: x + 8x = 9x 8 + 9x = 7 + -2(x + -4) Reorder the terms: 8 + 9x = 7 + -2(-4 + x) 8 + 9x = 7 + (-4 * -2 + x * -2) 8 + 9x = 7 + (8 + -2x) Combine like terms: 7 + 8 = 15 8 + 9x = 15 + -2x Solving 8 + 9x = 15 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 8 + 9x + 2x = 15 + -2x + 2x Combine like terms: 9x + 2x = 11x 8 + 11x = 15 + -2x + 2x Combine like terms: -2x + 2x = 0 8 + 11x = 15 + 0 8 + 11x = 15 Add '-8' to each side of the equation. 8 + -8 + 11x = 15 + -8 Combine like terms: 8 + -8 = 0 0 + 11x = 15 + -8 11x = 15 + -8 Combine like terms: 15 + -8 = 7 11x = 7 Divide each side by '11'. x = 0.6363636364 Simplifying x = 0.6363636364
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