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Simplifying 7(x + 5) = 15x + -17 Reorder the terms: 7(5 + x) = 15x + -17 (5 * 7 + x * 7) = 15x + -17 (35 + 7x) = 15x + -17 Reorder the terms: 35 + 7x = -17 + 15x Solving 35 + 7x = -17 + 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 + 7x + -15x = -17 + 15x + -15x Combine like terms: 7x + -15x = -8x 35 + -8x = -17 + 15x + -15x Combine like terms: 15x + -15x = 0 35 + -8x = -17 + 0 35 + -8x = -17 Add '-35' to each side of the equation. 35 + -35 + -8x = -17 + -35 Combine like terms: 35 + -35 = 0 0 + -8x = -17 + -35 -8x = -17 + -35 Combine like terms: -17 + -35 = -52 -8x = -52 Divide each side by '-8'. x = 6.5 Simplifying x = 6.5
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