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Simplifying 360 = 3x + 3x + (2x + 150) + (2x + 150) Reorder the terms: 360 = 3x + 3x + (150 + 2x) + (2x + 150) Remove parenthesis around (150 + 2x) 360 = 3x + 3x + 150 + 2x + (2x + 150) Reorder the terms: 360 = 3x + 3x + 150 + 2x + (150 + 2x) Remove parenthesis around (150 + 2x) 360 = 3x + 3x + 150 + 2x + 150 + 2x Reorder the terms: 360 = 150 + 150 + 3x + 3x + 2x + 2x Combine like terms: 150 + 150 = 300 360 = 300 + 3x + 3x + 2x + 2x Combine like terms: 3x + 3x = 6x 360 = 300 + 6x + 2x + 2x Combine like terms: 6x + 2x = 8x 360 = 300 + 8x + 2x Combine like terms: 8x + 2x = 10x 360 = 300 + 10x Solving 360 = 300 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 360 + -10x = 300 + 10x + -10x Combine like terms: 10x + -10x = 0 360 + -10x = 300 + 0 360 + -10x = 300 Add '-360' to each side of the equation. 360 + -360 + -10x = 300 + -360 Combine like terms: 360 + -360 = 0 0 + -10x = 300 + -360 -10x = 300 + -360 Combine like terms: 300 + -360 = -60 -10x = -60 Divide each side by '-10'. x = 6 Simplifying x = 6
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