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Simplifying 8 + 5(5x + -2x) = 26 + 17x Combine like terms: 5x + -2x = 3x 8 + 5(3x) = 26 + 17x Remove parenthesis around (3x) 8 + 5 * 3x = 26 + 17x Multiply 5 * 3 8 + 15x = 26 + 17x Solving 8 + 15x = 26 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 8 + 15x + -17x = 26 + 17x + -17x Combine like terms: 15x + -17x = -2x 8 + -2x = 26 + 17x + -17x Combine like terms: 17x + -17x = 0 8 + -2x = 26 + 0 8 + -2x = 26 Add '-8' to each side of the equation. 8 + -8 + -2x = 26 + -8 Combine like terms: 8 + -8 = 0 0 + -2x = 26 + -8 -2x = 26 + -8 Combine like terms: 26 + -8 = 18 -2x = 18 Divide each side by '-2'. x = -9 Simplifying x = -9
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