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Simplifying x + -2(x + -3(x + -4)) = 5(6 + -1x) Reorder the terms: x + -2(x + -3(-4 + x)) = 5(6 + -1x) x + -2(x + (-4 * -3 + x * -3)) = 5(6 + -1x) x + -2(x + (12 + -3x)) = 5(6 + -1x) Reorder the terms: x + -2(12 + x + -3x) = 5(6 + -1x) Combine like terms: x + -3x = -2x x + -2(12 + -2x) = 5(6 + -1x) x + (12 * -2 + -2x * -2) = 5(6 + -1x) x + (-24 + 4x) = 5(6 + -1x) Reorder the terms: -24 + x + 4x = 5(6 + -1x) Combine like terms: x + 4x = 5x -24 + 5x = 5(6 + -1x) -24 + 5x = (6 * 5 + -1x * 5) -24 + 5x = (30 + -5x) Solving -24 + 5x = 30 + -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 + 5x + 5x = 30 + -5x + 5x Combine like terms: 5x + 5x = 10x -24 + 10x = 30 + -5x + 5x Combine like terms: -5x + 5x = 0 -24 + 10x = 30 + 0 -24 + 10x = 30 Add '24' to each side of the equation. -24 + 24 + 10x = 30 + 24 Combine like terms: -24 + 24 = 0 0 + 10x = 30 + 24 10x = 30 + 24 Combine like terms: 30 + 24 = 54 10x = 54 Divide each side by '10'. x = 5.4 Simplifying x = 5.4
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