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Simplifying 360 = (x + 50) + (2x + 80) + (4x + 20) Reorder the terms: 360 = (50 + x) + (2x + 80) + (4x + 20) Remove parenthesis around (50 + x) 360 = 50 + x + (2x + 80) + (4x + 20) Reorder the terms: 360 = 50 + x + (80 + 2x) + (4x + 20) Remove parenthesis around (80 + 2x) 360 = 50 + x + 80 + 2x + (4x + 20) Reorder the terms: 360 = 50 + x + 80 + 2x + (20 + 4x) Remove parenthesis around (20 + 4x) 360 = 50 + x + 80 + 2x + 20 + 4x Reorder the terms: 360 = 50 + 80 + 20 + x + 2x + 4x Combine like terms: 50 + 80 = 130 360 = 130 + 20 + x + 2x + 4x Combine like terms: 130 + 20 = 150 360 = 150 + x + 2x + 4x Combine like terms: x + 2x = 3x 360 = 150 + 3x + 4x Combine like terms: 3x + 4x = 7x 360 = 150 + 7x Solving 360 = 150 + 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 = 150 + 7x + -7x Combine like terms: 7x + -7x = 0 360 + -7x = 150 + 0 360 + -7x = 150 Add '-360' to each side of the equation. 360 + -360 + -7x = 150 + -360 Combine like terms: 360 + -360 = 0 0 + -7x = 150 + -360 -7x = 150 + -360 Combine like terms: 150 + -360 = -210 -7x = -210 Divide each side by '-7'. x = 30 Simplifying x = 30
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