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Simplifying 360 = (x + 40) + (4x + 70) + (2x + 110) Reorder the terms: 360 = (40 + x) + (4x + 70) + (2x + 110) Remove parenthesis around (40 + x) 360 = 40 + x + (4x + 70) + (2x + 110) Reorder the terms: 360 = 40 + x + (70 + 4x) + (2x + 110) Remove parenthesis around (70 + 4x) 360 = 40 + x + 70 + 4x + (2x + 110) Reorder the terms: 360 = 40 + x + 70 + 4x + (110 + 2x) Remove parenthesis around (110 + 2x) 360 = 40 + x + 70 + 4x + 110 + 2x Reorder the terms: 360 = 40 + 70 + 110 + x + 4x + 2x Combine like terms: 40 + 70 = 110 360 = 110 + 110 + x + 4x + 2x Combine like terms: 110 + 110 = 220 360 = 220 + x + 4x + 2x Combine like terms: x + 4x = 5x 360 = 220 + 5x + 2x Combine like terms: 5x + 2x = 7x 360 = 220 + 7x Solving 360 = 220 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 360 + -7x = 220 + 7x + -7x Combine like terms: 7x + -7x = 0 360 + -7x = 220 + 0 360 + -7x = 220 Add '-360' to each side of the equation. 360 + -360 + -7x = 220 + -360 Combine like terms: 360 + -360 = 0 0 + -7x = 220 + -360 -7x = 220 + -360 Combine like terms: 220 + -360 = -140 -7x = -140 Divide each side by '-7'. x = 20 Simplifying x = 20
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