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Simplifying x + [2x + -3] + [3x + -15] = 180 Reorder the terms: x + [-3 + 2x] + [3x + -15] = 180 Remove brackets around [-3 + 2x] x + -3 + 2x + [3x + -15] = 180 Reorder the terms: x + -3 + 2x + [-15 + 3x] = 180 Remove brackets around [-15 + 3x] x + -3 + 2x + -15 + 3x = 180 Reorder the terms: -3 + -15 + x + 2x + 3x = 180 Combine like terms: -3 + -15 = -18 -18 + x + 2x + 3x = 180 Combine like terms: x + 2x = 3x -18 + 3x + 3x = 180 Combine like terms: 3x + 3x = 6x -18 + 6x = 180 Solving -18 + 6x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 6x = 180 + 18 Combine like terms: -18 + 18 = 0 0 + 6x = 180 + 18 6x = 180 + 18 Combine like terms: 180 + 18 = 198 6x = 198 Divide each side by '6'. x = 33 Simplifying x = 33
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