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Simplifying 4(-3x + 2) + 7(2x + 2) = 24 Reorder the terms: 4(2 + -3x) + 7(2x + 2) = 24 (2 * 4 + -3x * 4) + 7(2x + 2) = 24 (8 + -12x) + 7(2x + 2) = 24 Reorder the terms: 8 + -12x + 7(2 + 2x) = 24 8 + -12x + (2 * 7 + 2x * 7) = 24 8 + -12x + (14 + 14x) = 24 Reorder the terms: 8 + 14 + -12x + 14x = 24 Combine like terms: 8 + 14 = 22 22 + -12x + 14x = 24 Combine like terms: -12x + 14x = 2x 22 + 2x = 24 Solving 22 + 2x = 24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 2x = 24 + -22 Combine like terms: 22 + -22 = 0 0 + 2x = 24 + -22 2x = 24 + -22 Combine like terms: 24 + -22 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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