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Simplifying 5(2x + 7) = 5(3x + 8) Reorder the terms: 5(7 + 2x) = 5(3x + 8) (7 * 5 + 2x * 5) = 5(3x + 8) (35 + 10x) = 5(3x + 8) Reorder the terms: 35 + 10x = 5(8 + 3x) 35 + 10x = (8 * 5 + 3x * 5) 35 + 10x = (40 + 15x) Solving 35 + 10x = 40 + 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. 35 + 10x + -15x = 40 + 15x + -15x Combine like terms: 10x + -15x = -5x 35 + -5x = 40 + 15x + -15x Combine like terms: 15x + -15x = 0 35 + -5x = 40 + 0 35 + -5x = 40 Add '-35' to each side of the equation. 35 + -35 + -5x = 40 + -35 Combine like terms: 35 + -35 = 0 0 + -5x = 40 + -35 -5x = 40 + -35 Combine like terms: 40 + -35 = 5 -5x = 5 Divide each side by '-5'. x = -1 Simplifying x = -1
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