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Simplifying 3(2x + 5) = 4x + 7 Reorder the terms: 3(5 + 2x) = 4x + 7 (5 * 3 + 2x * 3) = 4x + 7 (15 + 6x) = 4x + 7 Reorder the terms: 15 + 6x = 7 + 4x Solving 15 + 6x = 7 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 15 + 6x + -4x = 7 + 4x + -4x Combine like terms: 6x + -4x = 2x 15 + 2x = 7 + 4x + -4x Combine like terms: 4x + -4x = 0 15 + 2x = 7 + 0 15 + 2x = 7 Add '-15' to each side of the equation. 15 + -15 + 2x = 7 + -15 Combine like terms: 15 + -15 = 0 0 + 2x = 7 + -15 2x = 7 + -15 Combine like terms: 7 + -15 = -8 2x = -8 Divide each side by '2'. x = -4 Simplifying x = -4
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