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Simplifying 2x + 30 = x + 10(180 + -1(2x + 10)) Reorder the terms: 30 + 2x = x + 10(180 + -1(2x + 10)) Reorder the terms: 30 + 2x = x + 10(180 + -1(10 + 2x)) 30 + 2x = x + 10(180 + (10 * -1 + 2x * -1)) 30 + 2x = x + 10(180 + (-10 + -2x)) Combine like terms: 180 + -10 = 170 30 + 2x = x + 10(170 + -2x) 30 + 2x = x + (170 * 10 + -2x * 10) 30 + 2x = x + (1700 + -20x) Reorder the terms: 30 + 2x = 1700 + x + -20x Combine like terms: x + -20x = -19x 30 + 2x = 1700 + -19x Solving 30 + 2x = 1700 + -19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19x' to each side of the equation. 30 + 2x + 19x = 1700 + -19x + 19x Combine like terms: 2x + 19x = 21x 30 + 21x = 1700 + -19x + 19x Combine like terms: -19x + 19x = 0 30 + 21x = 1700 + 0 30 + 21x = 1700 Add '-30' to each side of the equation. 30 + -30 + 21x = 1700 + -30 Combine like terms: 30 + -30 = 0 0 + 21x = 1700 + -30 21x = 1700 + -30 Combine like terms: 1700 + -30 = 1670 21x = 1670 Divide each side by '21'. x = 79.52380952 Simplifying x = 79.52380952
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