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Simplifying 3x + 1 = 5(2x + 3) Reorder the terms: 1 + 3x = 5(2x + 3) Reorder the terms: 1 + 3x = 5(3 + 2x) 1 + 3x = (3 * 5 + 2x * 5) 1 + 3x = (15 + 10x) Solving 1 + 3x = 15 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 1 + 3x + -10x = 15 + 10x + -10x Combine like terms: 3x + -10x = -7x 1 + -7x = 15 + 10x + -10x Combine like terms: 10x + -10x = 0 1 + -7x = 15 + 0 1 + -7x = 15 Add '-1' to each side of the equation. 1 + -1 + -7x = 15 + -1 Combine like terms: 1 + -1 = 0 0 + -7x = 15 + -1 -7x = 15 + -1 Combine like terms: 15 + -1 = 14 -7x = 14 Divide each side by '-7'. x = -2 Simplifying x = -2
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