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Simplifying 5(2x + 6) = 3(5x + 8) + -17 Reorder the terms: 5(6 + 2x) = 3(5x + 8) + -17 (6 * 5 + 2x * 5) = 3(5x + 8) + -17 (30 + 10x) = 3(5x + 8) + -17 Reorder the terms: 30 + 10x = 3(8 + 5x) + -17 30 + 10x = (8 * 3 + 5x * 3) + -17 30 + 10x = (24 + 15x) + -17 Reorder the terms: 30 + 10x = 24 + -17 + 15x Combine like terms: 24 + -17 = 7 30 + 10x = 7 + 15x Solving 30 + 10x = 7 + 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. 30 + 10x + -15x = 7 + 15x + -15x Combine like terms: 10x + -15x = -5x 30 + -5x = 7 + 15x + -15x Combine like terms: 15x + -15x = 0 30 + -5x = 7 + 0 30 + -5x = 7 Add '-30' to each side of the equation. 30 + -30 + -5x = 7 + -30 Combine like terms: 30 + -30 = 0 0 + -5x = 7 + -30 -5x = 7 + -30 Combine like terms: 7 + -30 = -23 -5x = -23 Divide each side by '-5'. x = 4.6 Simplifying x = 4.6
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