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Simplifying 5(x + 2) + -4(x + -3) = 22 Reorder the terms: 5(2 + x) + -4(x + -3) = 22 (2 * 5 + x * 5) + -4(x + -3) = 22 (10 + 5x) + -4(x + -3) = 22 Reorder the terms: 10 + 5x + -4(-3 + x) = 22 10 + 5x + (-3 * -4 + x * -4) = 22 10 + 5x + (12 + -4x) = 22 Reorder the terms: 10 + 12 + 5x + -4x = 22 Combine like terms: 10 + 12 = 22 22 + 5x + -4x = 22 Combine like terms: 5x + -4x = 1x 22 + 1x = 22 Add '-22' to each side of the equation. 22 + -22 + 1x = 22 + -22 Combine like terms: 22 + -22 = 0 0 + 1x = 22 + -22 1x = 22 + -22 Combine like terms: 22 + -22 = 0 1x = 0 Solving 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '1'. x = 0 Simplifying x = 0
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