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Simplifying -24 = -1(x + -5) + -3(5 + 2x) + -4(2x + -4) Reorder the terms: -24 = -1(-5 + x) + -3(5 + 2x) + -4(2x + -4) -24 = (-5 * -1 + x * -1) + -3(5 + 2x) + -4(2x + -4) -24 = (5 + -1x) + -3(5 + 2x) + -4(2x + -4) -24 = 5 + -1x + (5 * -3 + 2x * -3) + -4(2x + -4) -24 = 5 + -1x + (-15 + -6x) + -4(2x + -4) Reorder the terms: -24 = 5 + -1x + -15 + -6x + -4(-4 + 2x) -24 = 5 + -1x + -15 + -6x + (-4 * -4 + 2x * -4) -24 = 5 + -1x + -15 + -6x + (16 + -8x) Reorder the terms: -24 = 5 + -15 + 16 + -1x + -6x + -8x Combine like terms: 5 + -15 = -10 -24 = -10 + 16 + -1x + -6x + -8x Combine like terms: -10 + 16 = 6 -24 = 6 + -1x + -6x + -8x Combine like terms: -1x + -6x = -7x -24 = 6 + -7x + -8x Combine like terms: -7x + -8x = -15x -24 = 6 + -15x Solving -24 = 6 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -24 + 15x = 6 + -15x + 15x Combine like terms: -15x + 15x = 0 -24 + 15x = 6 + 0 -24 + 15x = 6 Add '24' to each side of the equation. -24 + 24 + 15x = 6 + 24 Combine like terms: -24 + 24 = 0 0 + 15x = 6 + 24 15x = 6 + 24 Combine like terms: 6 + 24 = 30 15x = 30 Divide each side by '15'. x = 2 Simplifying x = 2
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