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Simplifying 3(4 + -2x) + -2(1 + x) = 8 + 5x (4 * 3 + -2x * 3) + -2(1 + x) = 8 + 5x (12 + -6x) + -2(1 + x) = 8 + 5x 12 + -6x + (1 * -2 + x * -2) = 8 + 5x 12 + -6x + (-2 + -2x) = 8 + 5x Reorder the terms: 12 + -2 + -6x + -2x = 8 + 5x Combine like terms: 12 + -2 = 10 10 + -6x + -2x = 8 + 5x Combine like terms: -6x + -2x = -8x 10 + -8x = 8 + 5x Solving 10 + -8x = 8 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 10 + -8x + -5x = 8 + 5x + -5x Combine like terms: -8x + -5x = -13x 10 + -13x = 8 + 5x + -5x Combine like terms: 5x + -5x = 0 10 + -13x = 8 + 0 10 + -13x = 8 Add '-10' to each side of the equation. 10 + -10 + -13x = 8 + -10 Combine like terms: 10 + -10 = 0 0 + -13x = 8 + -10 -13x = 8 + -10 Combine like terms: 8 + -10 = -2 -13x = -2 Divide each side by '-13'. x = 0.1538461538 Simplifying x = 0.1538461538
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