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Simplifying 3(2x + 5) + -2(x + 4) = 27 Reorder the terms: 3(5 + 2x) + -2(x + 4) = 27 (5 * 3 + 2x * 3) + -2(x + 4) = 27 (15 + 6x) + -2(x + 4) = 27 Reorder the terms: 15 + 6x + -2(4 + x) = 27 15 + 6x + (4 * -2 + x * -2) = 27 15 + 6x + (-8 + -2x) = 27 Reorder the terms: 15 + -8 + 6x + -2x = 27 Combine like terms: 15 + -8 = 7 7 + 6x + -2x = 27 Combine like terms: 6x + -2x = 4x 7 + 4x = 27 Solving 7 + 4x = 27 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 + 4x = 27 + -7 Combine like terms: 7 + -7 = 0 0 + 4x = 27 + -7 4x = 27 + -7 Combine like terms: 27 + -7 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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