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Simplifying 3(x + -5) + -2(x + 2) = 0 Reorder the terms: 3(-5 + x) + -2(x + 2) = 0 (-5 * 3 + x * 3) + -2(x + 2) = 0 (-15 + 3x) + -2(x + 2) = 0 Reorder the terms: -15 + 3x + -2(2 + x) = 0 -15 + 3x + (2 * -2 + x * -2) = 0 -15 + 3x + (-4 + -2x) = 0 Reorder the terms: -15 + -4 + 3x + -2x = 0 Combine like terms: -15 + -4 = -19 -19 + 3x + -2x = 0 Combine like terms: 3x + -2x = 1x -19 + 1x = 0 Solving -19 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 1x = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 1x = 0 + 19 1x = 0 + 19 Combine like terms: 0 + 19 = 19 1x = 19 Divide each side by '1'. x = 19 Simplifying x = 19
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