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Simplifying 4(2x + -6) = 5(3 + -1x) Reorder the terms: 4(-6 + 2x) = 5(3 + -1x) (-6 * 4 + 2x * 4) = 5(3 + -1x) (-24 + 8x) = 5(3 + -1x) -24 + 8x = (3 * 5 + -1x * 5) -24 + 8x = (15 + -5x) Solving -24 + 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. -24 + 8x + 5x = 15 + -5x + 5x Combine like terms: 8x + 5x = 13x -24 + 13x = 15 + -5x + 5x Combine like terms: -5x + 5x = 0 -24 + 13x = 15 + 0 -24 + 13x = 15 Add '24' to each side of the equation. -24 + 24 + 13x = 15 + 24 Combine like terms: -24 + 24 = 0 0 + 13x = 15 + 24 13x = 15 + 24 Combine like terms: 15 + 24 = 39 13x = 39 Divide each side by '13'. x = 3 Simplifying x = 3
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