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Simplifying 3(x + -5) + -2(x + -3) = 20 Reorder the terms: 3(-5 + x) + -2(x + -3) = 20 (-5 * 3 + x * 3) + -2(x + -3) = 20 (-15 + 3x) + -2(x + -3) = 20 Reorder the terms: -15 + 3x + -2(-3 + x) = 20 -15 + 3x + (-3 * -2 + x * -2) = 20 -15 + 3x + (6 + -2x) = 20 Reorder the terms: -15 + 6 + 3x + -2x = 20 Combine like terms: -15 + 6 = -9 -9 + 3x + -2x = 20 Combine like terms: 3x + -2x = 1x -9 + 1x = 20 Solving -9 + 1x = 20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 1x = 20 + 9 Combine like terms: -9 + 9 = 0 0 + 1x = 20 + 9 1x = 20 + 9 Combine like terms: 20 + 9 = 29 1x = 29 Divide each side by '1'. x = 29 Simplifying x = 29
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