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Simplifying 4(x + 7) + 3(3x + -7) = 72 Reorder the terms: 4(7 + x) + 3(3x + -7) = 72 (7 * 4 + x * 4) + 3(3x + -7) = 72 (28 + 4x) + 3(3x + -7) = 72 Reorder the terms: 28 + 4x + 3(-7 + 3x) = 72 28 + 4x + (-7 * 3 + 3x * 3) = 72 28 + 4x + (-21 + 9x) = 72 Reorder the terms: 28 + -21 + 4x + 9x = 72 Combine like terms: 28 + -21 = 7 7 + 4x + 9x = 72 Combine like terms: 4x + 9x = 13x 7 + 13x = 72 Solving 7 + 13x = 72 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 13x = 72 + -7 Combine like terms: 7 + -7 = 0 0 + 13x = 72 + -7 13x = 72 + -7 Combine like terms: 72 + -7 = 65 13x = 65 Divide each side by '13'. x = 5 Simplifying x = 5
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