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Simplifying 3(2x + 5) = 4(x + 3) Reorder the terms: 3(5 + 2x) = 4(x + 3) (5 * 3 + 2x * 3) = 4(x + 3) (15 + 6x) = 4(x + 3) Reorder the terms: 15 + 6x = 4(3 + x) 15 + 6x = (3 * 4 + x * 4) 15 + 6x = (12 + 4x) Solving 15 + 6x = 12 + 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 = 12 + 4x + -4x Combine like terms: 6x + -4x = 2x 15 + 2x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 15 + 2x = 12 + 0 15 + 2x = 12 Add '-15' to each side of the equation. 15 + -15 + 2x = 12 + -15 Combine like terms: 15 + -15 = 0 0 + 2x = 12 + -15 2x = 12 + -15 Combine like terms: 12 + -15 = -3 2x = -3 Divide each side by '2'. x = -1.5 Simplifying x = -1.5
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