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Simplifying 280 = 5(3x + -5) + 4(9x + 2) Reorder the terms: 280 = 5(-5 + 3x) + 4(9x + 2) 280 = (-5 * 5 + 3x * 5) + 4(9x + 2) 280 = (-25 + 15x) + 4(9x + 2) Reorder the terms: 280 = -25 + 15x + 4(2 + 9x) 280 = -25 + 15x + (2 * 4 + 9x * 4) 280 = -25 + 15x + (8 + 36x) Reorder the terms: 280 = -25 + 8 + 15x + 36x Combine like terms: -25 + 8 = -17 280 = -17 + 15x + 36x Combine like terms: 15x + 36x = 51x 280 = -17 + 51x Solving 280 = -17 + 51x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-51x' to each side of the equation. 280 + -51x = -17 + 51x + -51x Combine like terms: 51x + -51x = 0 280 + -51x = -17 + 0 280 + -51x = -17 Add '-280' to each side of the equation. 280 + -280 + -51x = -17 + -280 Combine like terms: 280 + -280 = 0 0 + -51x = -17 + -280 -51x = -17 + -280 Combine like terms: -17 + -280 = -297 -51x = -297 Divide each side by '-51'. x = 5.823529412 Simplifying x = 5.823529412
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