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Simplifying 5x + 10(x + 9) + 25(x + 14) = 1040 Reorder the terms: 5x + 10(9 + x) + 25(x + 14) = 1040 5x + (9 * 10 + x * 10) + 25(x + 14) = 1040 5x + (90 + 10x) + 25(x + 14) = 1040 Reorder the terms: 5x + 90 + 10x + 25(14 + x) = 1040 5x + 90 + 10x + (14 * 25 + x * 25) = 1040 5x + 90 + 10x + (350 + 25x) = 1040 Reorder the terms: 90 + 350 + 5x + 10x + 25x = 1040 Combine like terms: 90 + 350 = 440 440 + 5x + 10x + 25x = 1040 Combine like terms: 5x + 10x = 15x 440 + 15x + 25x = 1040 Combine like terms: 15x + 25x = 40x 440 + 40x = 1040 Solving 440 + 40x = 1040 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-440' to each side of the equation. 440 + -440 + 40x = 1040 + -440 Combine like terms: 440 + -440 = 0 0 + 40x = 1040 + -440 40x = 1040 + -440 Combine like terms: 1040 + -440 = 600 40x = 600 Divide each side by '40'. x = 15 Simplifying x = 15
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