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Simplifying 360 = (x + 40) + (3x + 90) + (4x + 70) Reorder the terms: 360 = (40 + x) + (3x + 90) + (4x + 70) Remove parenthesis around (40 + x) 360 = 40 + x + (3x + 90) + (4x + 70) Reorder the terms: 360 = 40 + x + (90 + 3x) + (4x + 70) Remove parenthesis around (90 + 3x) 360 = 40 + x + 90 + 3x + (4x + 70) Reorder the terms: 360 = 40 + x + 90 + 3x + (70 + 4x) Remove parenthesis around (70 + 4x) 360 = 40 + x + 90 + 3x + 70 + 4x Reorder the terms: 360 = 40 + 90 + 70 + x + 3x + 4x Combine like terms: 40 + 90 = 130 360 = 130 + 70 + x + 3x + 4x Combine like terms: 130 + 70 = 200 360 = 200 + x + 3x + 4x Combine like terms: x + 3x = 4x 360 = 200 + 4x + 4x Combine like terms: 4x + 4x = 8x 360 = 200 + 8x Solving 360 = 200 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 360 + -8x = 200 + 8x + -8x Combine like terms: 8x + -8x = 0 360 + -8x = 200 + 0 360 + -8x = 200 Add '-360' to each side of the equation. 360 + -360 + -8x = 200 + -360 Combine like terms: 360 + -360 = 0 0 + -8x = 200 + -360 -8x = 200 + -360 Combine like terms: 200 + -360 = -160 -8x = -160 Divide each side by '-8'. x = 20 Simplifying x = 20
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