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Simplifying 1440 = 3x + 5(410 + -1x) 1440 = 3x + (410 * 5 + -1x * 5) 1440 = 3x + (2050 + -5x) Reorder the terms: 1440 = 2050 + 3x + -5x Combine like terms: 3x + -5x = -2x 1440 = 2050 + -2x Solving 1440 = 2050 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 1440 + 2x = 2050 + -2x + 2x Combine like terms: -2x + 2x = 0 1440 + 2x = 2050 + 0 1440 + 2x = 2050 Add '-1440' to each side of the equation. 1440 + -1440 + 2x = 2050 + -1440 Combine like terms: 1440 + -1440 = 0 0 + 2x = 2050 + -1440 2x = 2050 + -1440 Combine like terms: 2050 + -1440 = 610 2x = 610 Divide each side by '2'. x = 305 Simplifying x = 305
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