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Simplifying 3x + 8(1 + -4x) = 35 + -2x 3x + (1 * 8 + -4x * 8) = 35 + -2x 3x + (8 + -32x) = 35 + -2x Reorder the terms: 8 + 3x + -32x = 35 + -2x Combine like terms: 3x + -32x = -29x 8 + -29x = 35 + -2x Solving 8 + -29x = 35 + -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 + -29x + 2x = 35 + -2x + 2x Combine like terms: -29x + 2x = -27x 8 + -27x = 35 + -2x + 2x Combine like terms: -2x + 2x = 0 8 + -27x = 35 + 0 8 + -27x = 35 Add '-8' to each side of the equation. 8 + -8 + -27x = 35 + -8 Combine like terms: 8 + -8 = 0 0 + -27x = 35 + -8 -27x = 35 + -8 Combine like terms: 35 + -8 = 27 -27x = 27 Divide each side by '-27'. x = -1 Simplifying x = -1
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