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Simplifying 180 = (180 + -1(8x + 10)) + 2x + 10 + x + 30 Reorder the terms: 180 = (180 + -1(10 + 8x)) + 2x + 10 + x + 30 180 = (180 + (10 * -1 + 8x * -1)) + 2x + 10 + x + 30 180 = (180 + (-10 + -8x)) + 2x + 10 + x + 30 Combine like terms: 180 + -10 = 170 180 = (170 + -8x) + 2x + 10 + x + 30 Remove parenthesis around (170 + -8x) 180 = 170 + -8x + 2x + 10 + x + 30 Reorder the terms: 180 = 170 + 10 + 30 + -8x + 2x + x Combine like terms: 170 + 10 = 180 180 = 180 + 30 + -8x + 2x + x Combine like terms: 180 + 30 = 210 180 = 210 + -8x + 2x + x Combine like terms: -8x + 2x = -6x 180 = 210 + -6x + x Combine like terms: -6x + x = -5x 180 = 210 + -5x Solving 180 = 210 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 180 + 5x = 210 + -5x + 5x Combine like terms: -5x + 5x = 0 180 + 5x = 210 + 0 180 + 5x = 210 Add '-180' to each side of the equation. 180 + -180 + 5x = 210 + -180 Combine like terms: 180 + -180 = 0 0 + 5x = 210 + -180 5x = 210 + -180 Combine like terms: 210 + -180 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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