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Simplifying 4(x + 2) + 3(x + -2) = 72 Reorder the terms: 4(2 + x) + 3(x + -2) = 72 (2 * 4 + x * 4) + 3(x + -2) = 72 (8 + 4x) + 3(x + -2) = 72 Reorder the terms: 8 + 4x + 3(-2 + x) = 72 8 + 4x + (-2 * 3 + x * 3) = 72 8 + 4x + (-6 + 3x) = 72 Reorder the terms: 8 + -6 + 4x + 3x = 72 Combine like terms: 8 + -6 = 2 2 + 4x + 3x = 72 Combine like terms: 4x + 3x = 7x 2 + 7x = 72 Solving 2 + 7x = 72 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 7x = 72 + -2 Combine like terms: 2 + -2 = 0 0 + 7x = 72 + -2 7x = 72 + -2 Combine like terms: 72 + -2 = 70 7x = 70 Divide each side by '7'. x = 10 Simplifying x = 10
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