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Simplifying -3x + 27 = 8(1 + 2x) Reorder the terms: 27 + -3x = 8(1 + 2x) 27 + -3x = (1 * 8 + 2x * 8) 27 + -3x = (8 + 16x) Solving 27 + -3x = 8 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 27 + -3x + -16x = 8 + 16x + -16x Combine like terms: -3x + -16x = -19x 27 + -19x = 8 + 16x + -16x Combine like terms: 16x + -16x = 0 27 + -19x = 8 + 0 27 + -19x = 8 Add '-27' to each side of the equation. 27 + -27 + -19x = 8 + -27 Combine like terms: 27 + -27 = 0 0 + -19x = 8 + -27 -19x = 8 + -27 Combine like terms: 8 + -27 = -19 -19x = -19 Divide each side by '-19'. x = 1 Simplifying x = 1
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