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Simplifying 4(1 + -2x) = 5(3 + x) (1 * 4 + -2x * 4) = 5(3 + x) (4 + -8x) = 5(3 + x) 4 + -8x = (3 * 5 + x * 5) 4 + -8x = (15 + 5x) Solving 4 + -8x = 15 + 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. 4 + -8x + -5x = 15 + 5x + -5x Combine like terms: -8x + -5x = -13x 4 + -13x = 15 + 5x + -5x Combine like terms: 5x + -5x = 0 4 + -13x = 15 + 0 4 + -13x = 15 Add '-4' to each side of the equation. 4 + -4 + -13x = 15 + -4 Combine like terms: 4 + -4 = 0 0 + -13x = 15 + -4 -13x = 15 + -4 Combine like terms: 15 + -4 = 11 -13x = 11 Divide each side by '-13'. x = -0.8461538462 Simplifying x = -0.8461538462
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