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Simplifying 7(x + 20) + -5x + 4(100 + x) = 1360 Reorder the terms: 7(20 + x) + -5x + 4(100 + x) = 1360 (20 * 7 + x * 7) + -5x + 4(100 + x) = 1360 (140 + 7x) + -5x + 4(100 + x) = 1360 140 + 7x + -5x + (100 * 4 + x * 4) = 1360 140 + 7x + -5x + (400 + 4x) = 1360 Reorder the terms: 140 + 400 + 7x + -5x + 4x = 1360 Combine like terms: 140 + 400 = 540 540 + 7x + -5x + 4x = 1360 Combine like terms: 7x + -5x = 2x 540 + 2x + 4x = 1360 Combine like terms: 2x + 4x = 6x 540 + 6x = 1360 Solving 540 + 6x = 1360 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-540' to each side of the equation. 540 + -540 + 6x = 1360 + -540 Combine like terms: 540 + -540 = 0 0 + 6x = 1360 + -540 6x = 1360 + -540 Combine like terms: 1360 + -540 = 820 6x = 820 Divide each side by '6'. x = 136.6666667 Simplifying x = 136.6666667
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