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Simplifying 5x + 7 + -2 = 5(3x + 5) Reorder the terms: 7 + -2 + 5x = 5(3x + 5) Combine like terms: 7 + -2 = 5 5 + 5x = 5(3x + 5) Reorder the terms: 5 + 5x = 5(5 + 3x) 5 + 5x = (5 * 5 + 3x * 5) 5 + 5x = (25 + 15x) Solving 5 + 5x = 25 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 5 + 5x + -15x = 25 + 15x + -15x Combine like terms: 5x + -15x = -10x 5 + -10x = 25 + 15x + -15x Combine like terms: 15x + -15x = 0 5 + -10x = 25 + 0 5 + -10x = 25 Add '-5' to each side of the equation. 5 + -5 + -10x = 25 + -5 Combine like terms: 5 + -5 = 0 0 + -10x = 25 + -5 -10x = 25 + -5 Combine like terms: 25 + -5 = 20 -10x = 20 Divide each side by '-10'. x = -2 Simplifying x = -2
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