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Simplifying (3x + -2) + (3x + 18) + (4x + -4) + 2x = 360 Reorder the terms: (-2 + 3x) + (3x + 18) + (4x + -4) + 2x = 360 Remove parenthesis around (-2 + 3x) -2 + 3x + (3x + 18) + (4x + -4) + 2x = 360 Reorder the terms: -2 + 3x + (18 + 3x) + (4x + -4) + 2x = 360 Remove parenthesis around (18 + 3x) -2 + 3x + 18 + 3x + (4x + -4) + 2x = 360 Reorder the terms: -2 + 3x + 18 + 3x + (-4 + 4x) + 2x = 360 Remove parenthesis around (-4 + 4x) -2 + 3x + 18 + 3x + -4 + 4x + 2x = 360 Reorder the terms: -2 + 18 + -4 + 3x + 3x + 4x + 2x = 360 Combine like terms: -2 + 18 = 16 16 + -4 + 3x + 3x + 4x + 2x = 360 Combine like terms: 16 + -4 = 12 12 + 3x + 3x + 4x + 2x = 360 Combine like terms: 3x + 3x = 6x 12 + 6x + 4x + 2x = 360 Combine like terms: 6x + 4x = 10x 12 + 10x + 2x = 360 Combine like terms: 10x + 2x = 12x 12 + 12x = 360 Solving 12 + 12x = 360 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 12x = 360 + -12 Combine like terms: 12 + -12 = 0 0 + 12x = 360 + -12 12x = 360 + -12 Combine like terms: 360 + -12 = 348 12x = 348 Divide each side by '12'. x = 29 Simplifying x = 29
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