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Simplifying 2(x + -22) + 3(x + -3) = 32 Reorder the terms: 2(-22 + x) + 3(x + -3) = 32 (-22 * 2 + x * 2) + 3(x + -3) = 32 (-44 + 2x) + 3(x + -3) = 32 Reorder the terms: -44 + 2x + 3(-3 + x) = 32 -44 + 2x + (-3 * 3 + x * 3) = 32 -44 + 2x + (-9 + 3x) = 32 Reorder the terms: -44 + -9 + 2x + 3x = 32 Combine like terms: -44 + -9 = -53 -53 + 2x + 3x = 32 Combine like terms: 2x + 3x = 5x -53 + 5x = 32 Solving -53 + 5x = 32 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '53' to each side of the equation. -53 + 53 + 5x = 32 + 53 Combine like terms: -53 + 53 = 0 0 + 5x = 32 + 53 5x = 32 + 53 Combine like terms: 32 + 53 = 85 5x = 85 Divide each side by '5'. x = 17 Simplifying x = 17
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