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Simplifying 8(x + 1) = 27x + 27 + -19 + -19 Reorder the terms: 8(1 + x) = 27x + 27 + -19 + -19 (1 * 8 + x * 8) = 27x + 27 + -19 + -19 (8 + 8x) = 27x + 27 + -19 + -19 Reorder the terms: 8 + 8x = 27 + -19 + -19 + 27x Combine like terms: 27 + -19 = 8 8 + 8x = 8 + -19 + 27x Combine like terms: 8 + -19 = -11 8 + 8x = -11 + 27x Solving 8 + 8x = -11 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. 8 + 8x + -27x = -11 + 27x + -27x Combine like terms: 8x + -27x = -19x 8 + -19x = -11 + 27x + -27x Combine like terms: 27x + -27x = 0 8 + -19x = -11 + 0 8 + -19x = -11 Add '-8' to each side of the equation. 8 + -8 + -19x = -11 + -8 Combine like terms: 8 + -8 = 0 0 + -19x = -11 + -8 -19x = -11 + -8 Combine like terms: -11 + -8 = -19 -19x = -19 Divide each side by '-19'. x = 1 Simplifying x = 1
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