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Simplifying 3(x + -5) + -2(x + 4) = 0 Reorder the terms: 3(-5 + x) + -2(x + 4) = 0 (-5 * 3 + x * 3) + -2(x + 4) = 0 (-15 + 3x) + -2(x + 4) = 0 Reorder the terms: -15 + 3x + -2(4 + x) = 0 -15 + 3x + (4 * -2 + x * -2) = 0 -15 + 3x + (-8 + -2x) = 0 Reorder the terms: -15 + -8 + 3x + -2x = 0 Combine like terms: -15 + -8 = -23 -23 + 3x + -2x = 0 Combine like terms: 3x + -2x = 1x -23 + 1x = 0 Solving -23 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 1x = 0 + 23 Combine like terms: -23 + 23 = 0 0 + 1x = 0 + 23 1x = 0 + 23 Combine like terms: 0 + 23 = 23 1x = 23 Divide each side by '1'. x = 23 Simplifying x = 23
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