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Simplifying 12x + 4(10 + -3x) + 17x + -10 + -3x + 90 = 180 12x + (10 * 4 + -3x * 4) + 17x + -10 + -3x + 90 = 180 12x + (40 + -12x) + 17x + -10 + -3x + 90 = 180 Reorder the terms: 40 + -10 + 90 + 12x + -12x + 17x + -3x = 180 Combine like terms: 40 + -10 = 30 30 + 90 + 12x + -12x + 17x + -3x = 180 Combine like terms: 30 + 90 = 120 120 + 12x + -12x + 17x + -3x = 180 Combine like terms: 12x + -12x = 0 120 + 0 + 17x + -3x = 180 120 + 17x + -3x = 180 Combine like terms: 17x + -3x = 14x 120 + 14x = 180 Solving 120 + 14x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-120' to each side of the equation. 120 + -120 + 14x = 180 + -120 Combine like terms: 120 + -120 = 0 0 + 14x = 180 + -120 14x = 180 + -120 Combine like terms: 180 + -120 = 60 14x = 60 Divide each side by '14'. x = 4.285714286 Simplifying x = 4.285714286
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