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Simplifying 3(x + -4) + -5(x + 2) = 2 + -1(x + 24) Reorder the terms: 3(-4 + x) + -5(x + 2) = 2 + -1(x + 24) (-4 * 3 + x * 3) + -5(x + 2) = 2 + -1(x + 24) (-12 + 3x) + -5(x + 2) = 2 + -1(x + 24) Reorder the terms: -12 + 3x + -5(2 + x) = 2 + -1(x + 24) -12 + 3x + (2 * -5 + x * -5) = 2 + -1(x + 24) -12 + 3x + (-10 + -5x) = 2 + -1(x + 24) Reorder the terms: -12 + -10 + 3x + -5x = 2 + -1(x + 24) Combine like terms: -12 + -10 = -22 -22 + 3x + -5x = 2 + -1(x + 24) Combine like terms: 3x + -5x = -2x -22 + -2x = 2 + -1(x + 24) Reorder the terms: -22 + -2x = 2 + -1(24 + x) -22 + -2x = 2 + (24 * -1 + x * -1) -22 + -2x = 2 + (-24 + -1x) Combine like terms: 2 + -24 = -22 -22 + -2x = -22 + -1x Add '22' to each side of the equation. -22 + 22 + -2x = -22 + 22 + -1x Combine like terms: -22 + 22 = 0 0 + -2x = -22 + 22 + -1x -2x = -22 + 22 + -1x Combine like terms: -22 + 22 = 0 -2x = 0 + -1x -2x = -1x Solving -2x = -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -2x + x = -1x + x Combine like terms: -2x + x = -1x -1x = -1x + x Combine like terms: -1x + x = 0 -1x = 0 Divide each side by '-1'. x = 0 Simplifying x = 0
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