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Simplifying -3(x + 4) + 5(x + -2) = 0 Reorder the terms: -3(4 + x) + 5(x + -2) = 0 (4 * -3 + x * -3) + 5(x + -2) = 0 (-12 + -3x) + 5(x + -2) = 0 Reorder the terms: -12 + -3x + 5(-2 + x) = 0 -12 + -3x + (-2 * 5 + x * 5) = 0 -12 + -3x + (-10 + 5x) = 0 Reorder the terms: -12 + -10 + -3x + 5x = 0 Combine like terms: -12 + -10 = -22 -22 + -3x + 5x = 0 Combine like terms: -3x + 5x = 2x -22 + 2x = 0 Solving -22 + 2x = 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 + 2x = 0 + 22 Combine like terms: -22 + 22 = 0 0 + 2x = 0 + 22 2x = 0 + 22 Combine like terms: 0 + 22 = 22 2x = 22 Divide each side by '2'. x = 11 Simplifying x = 11
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