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Simplifying 2x + -5 + 3(x + -4) + 8x + 2 = 180 Reorder the terms: 2x + -5 + 3(-4 + x) + 8x + 2 = 180 2x + -5 + (-4 * 3 + x * 3) + 8x + 2 = 180 2x + -5 + (-12 + 3x) + 8x + 2 = 180 Reorder the terms: -5 + -12 + 2 + 2x + 3x + 8x = 180 Combine like terms: -5 + -12 = -17 -17 + 2 + 2x + 3x + 8x = 180 Combine like terms: -17 + 2 = -15 -15 + 2x + 3x + 8x = 180 Combine like terms: 2x + 3x = 5x -15 + 5x + 8x = 180 Combine like terms: 5x + 8x = 13x -15 + 13x = 180 Solving -15 + 13x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 13x = 180 + 15 Combine like terms: -15 + 15 = 0 0 + 13x = 180 + 15 13x = 180 + 15 Combine like terms: 180 + 15 = 195 13x = 195 Divide each side by '13'. x = 15 Simplifying x = 15
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