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Simplifying 5(3x + 2) = 17x + -2 Reorder the terms: 5(2 + 3x) = 17x + -2 (2 * 5 + 3x * 5) = 17x + -2 (10 + 15x) = 17x + -2 Reorder the terms: 10 + 15x = -2 + 17x Solving 10 + 15x = -2 + 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. 10 + 15x + -17x = -2 + 17x + -17x Combine like terms: 15x + -17x = -2x 10 + -2x = -2 + 17x + -17x Combine like terms: 17x + -17x = 0 10 + -2x = -2 + 0 10 + -2x = -2 Add '-10' to each side of the equation. 10 + -10 + -2x = -2 + -10 Combine like terms: 10 + -10 = 0 0 + -2x = -2 + -10 -2x = -2 + -10 Combine like terms: -2 + -10 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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