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