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Simplifying 3(x + -2) + -5(x + -4) = 0 Reorder the terms: 3(-2 + x) + -5(x + -4) = 0 (-2 * 3 + x * 3) + -5(x + -4) = 0 (-6 + 3x) + -5(x + -4) = 0 Reorder the terms: -6 + 3x + -5(-4 + x) = 0 -6 + 3x + (-4 * -5 + x * -5) = 0 -6 + 3x + (20 + -5x) = 0 Reorder the terms: -6 + 20 + 3x + -5x = 0 Combine like terms: -6 + 20 = 14 14 + 3x + -5x = 0 Combine like terms: 3x + -5x = -2x 14 + -2x = 0 Solving 14 + -2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -2x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -2x = 0 + -14 -2x = 0 + -14 Combine like terms: 0 + -14 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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