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Simplifying 3x + -12 + 2x + -5 + 3(x + -7) + -1 = 180 Reorder the terms: 3x + -12 + 2x + -5 + 3(-7 + x) + -1 = 180 3x + -12 + 2x + -5 + (-7 * 3 + x * 3) + -1 = 180 3x + -12 + 2x + -5 + (-21 + 3x) + -1 = 180 Reorder the terms: -12 + -5 + -21 + -1 + 3x + 2x + 3x = 180 Combine like terms: -12 + -5 = -17 -17 + -21 + -1 + 3x + 2x + 3x = 180 Combine like terms: -17 + -21 = -38 -38 + -1 + 3x + 2x + 3x = 180 Combine like terms: -38 + -1 = -39 -39 + 3x + 2x + 3x = 180 Combine like terms: 3x + 2x = 5x -39 + 5x + 3x = 180 Combine like terms: 5x + 3x = 8x -39 + 8x = 180 Solving -39 + 8x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '39' to each side of the equation. -39 + 39 + 8x = 180 + 39 Combine like terms: -39 + 39 = 0 0 + 8x = 180 + 39 8x = 180 + 39 Combine like terms: 180 + 39 = 219 8x = 219 Divide each side by '8'. x = 27.375 Simplifying x = 27.375
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