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Simplifying 3(x + -4) = 5(1 + -2x) Reorder the terms: 3(-4 + x) = 5(1 + -2x) (-4 * 3 + x * 3) = 5(1 + -2x) (-12 + 3x) = 5(1 + -2x) -12 + 3x = (1 * 5 + -2x * 5) -12 + 3x = (5 + -10x) Solving -12 + 3x = 5 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -12 + 3x + 10x = 5 + -10x + 10x Combine like terms: 3x + 10x = 13x -12 + 13x = 5 + -10x + 10x Combine like terms: -10x + 10x = 0 -12 + 13x = 5 + 0 -12 + 13x = 5 Add '12' to each side of the equation. -12 + 12 + 13x = 5 + 12 Combine like terms: -12 + 12 = 0 0 + 13x = 5 + 12 13x = 5 + 12 Combine like terms: 5 + 12 = 17 13x = 17 Divide each side by '13'. x = 1.307692308 Simplifying x = 1.307692308
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