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Simplifying 180 + -1x + -1(x + 10) + -1(3x + -5) = 0 Reorder the terms: 180 + -1x + -1(10 + x) + -1(3x + -5) = 0 180 + -1x + (10 * -1 + x * -1) + -1(3x + -5) = 0 180 + -1x + (-10 + -1x) + -1(3x + -5) = 0 Reorder the terms: 180 + -1x + -10 + -1x + -1(-5 + 3x) = 0 180 + -1x + -10 + -1x + (-5 * -1 + 3x * -1) = 0 180 + -1x + -10 + -1x + (5 + -3x) = 0 Reorder the terms: 180 + -10 + 5 + -1x + -1x + -3x = 0 Combine like terms: 180 + -10 = 170 170 + 5 + -1x + -1x + -3x = 0 Combine like terms: 170 + 5 = 175 175 + -1x + -1x + -3x = 0 Combine like terms: -1x + -1x = -2x 175 + -2x + -3x = 0 Combine like terms: -2x + -3x = -5x 175 + -5x = 0 Solving 175 + -5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-175' to each side of the equation. 175 + -175 + -5x = 0 + -175 Combine like terms: 175 + -175 = 0 0 + -5x = 0 + -175 -5x = 0 + -175 Combine like terms: 0 + -175 = -175 -5x = -175 Divide each side by '-5'. x = 35 Simplifying x = 35
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