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Simplifying 3(x + 5) + 2(3x + -1) = 76 Reorder the terms: 3(5 + x) + 2(3x + -1) = 76 (5 * 3 + x * 3) + 2(3x + -1) = 76 (15 + 3x) + 2(3x + -1) = 76 Reorder the terms: 15 + 3x + 2(-1 + 3x) = 76 15 + 3x + (-1 * 2 + 3x * 2) = 76 15 + 3x + (-2 + 6x) = 76 Reorder the terms: 15 + -2 + 3x + 6x = 76 Combine like terms: 15 + -2 = 13 13 + 3x + 6x = 76 Combine like terms: 3x + 6x = 9x 13 + 9x = 76 Solving 13 + 9x = 76 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 9x = 76 + -13 Combine like terms: 13 + -13 = 0 0 + 9x = 76 + -13 9x = 76 + -13 Combine like terms: 76 + -13 = 63 9x = 63 Divide each side by '9'. x = 7 Simplifying x = 7
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