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Simplifying (3x + -12) + (2x) + (x + -6) + 90 = 360 Reorder the terms: (-12 + 3x) + (2x) + (x + -6) + 90 = 360 Remove parenthesis around (-12 + 3x) -12 + 3x + (2x) + (x + -6) + 90 = 360 Reorder the terms: -12 + 3x + (2x) + (-6 + x) + 90 = 360 Remove parenthesis around (-6 + x) -12 + 3x + (2x) + -6 + x + 90 = 360 Reorder the terms: -12 + -6 + 90 + 3x + (2x) + x = 360 Combine like terms: -12 + -6 = -18 -18 + 90 + 3x + (2x) + x = 360 Combine like terms: -18 + 90 = 72 72 + 3x + (2x) + x = 360 Combine like terms: 3x + (2x) = 5x 72 + 5x + x = 360 Combine like terms: 5x + x = 6x 72 + 6x = 360 Solving 72 + 6x = 360 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-72' to each side of the equation. 72 + -72 + 6x = 360 + -72 Combine like terms: 72 + -72 = 0 0 + 6x = 360 + -72 6x = 360 + -72 Combine like terms: 360 + -72 = 288 6x = 288 Divide each side by '6'. x = 48 Simplifying x = 48
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