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