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Simplifying 204 = 3x + -4(5x + -17) Reorder the terms: 204 = 3x + -4(-17 + 5x) 204 = 3x + (-17 * -4 + 5x * -4) 204 = 3x + (68 + -20x) Reorder the terms: 204 = 68 + 3x + -20x Combine like terms: 3x + -20x = -17x 204 = 68 + -17x Solving 204 = 68 + -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. 204 + 17x = 68 + -17x + 17x Combine like terms: -17x + 17x = 0 204 + 17x = 68 + 0 204 + 17x = 68 Add '-204' to each side of the equation. 204 + -204 + 17x = 68 + -204 Combine like terms: 204 + -204 = 0 0 + 17x = 68 + -204 17x = 68 + -204 Combine like terms: 68 + -204 = -136 17x = -136 Divide each side by '17'. x = -8 Simplifying x = -8
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