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Simplifying 3x + 2 = 5(2x + -1) Reorder the terms: 2 + 3x = 5(2x + -1) Reorder the terms: 2 + 3x = 5(-1 + 2x) 2 + 3x = (-1 * 5 + 2x * 5) 2 + 3x = (-5 + 10x) Solving 2 + 3x = -5 + 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. 2 + 3x + -10x = -5 + 10x + -10x Combine like terms: 3x + -10x = -7x 2 + -7x = -5 + 10x + -10x Combine like terms: 10x + -10x = 0 2 + -7x = -5 + 0 2 + -7x = -5 Add '-2' to each side of the equation. 2 + -2 + -7x = -5 + -2 Combine like terms: 2 + -2 = 0 0 + -7x = -5 + -2 -7x = -5 + -2 Combine like terms: -5 + -2 = -7 -7x = -7 Divide each side by '-7'. x = 1 Simplifying x = 1
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