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Simplifying 3(2x + 5) = 7x + 8 Reorder the terms: 3(5 + 2x) = 7x + 8 (5 * 3 + 2x * 3) = 7x + 8 (15 + 6x) = 7x + 8 Reorder the terms: 15 + 6x = 8 + 7x Solving 15 + 6x = 8 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 15 + 6x + -7x = 8 + 7x + -7x Combine like terms: 6x + -7x = -1x 15 + -1x = 8 + 7x + -7x Combine like terms: 7x + -7x = 0 15 + -1x = 8 + 0 15 + -1x = 8 Add '-15' to each side of the equation. 15 + -15 + -1x = 8 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 8 + -15 -1x = 8 + -15 Combine like terms: 8 + -15 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7
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