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Simplifying 7x + -57 = 180 + -1(2x + 75) Reorder the terms: -57 + 7x = 180 + -1(2x + 75) Reorder the terms: -57 + 7x = 180 + -1(75 + 2x) -57 + 7x = 180 + (75 * -1 + 2x * -1) -57 + 7x = 180 + (-75 + -2x) Combine like terms: 180 + -75 = 105 -57 + 7x = 105 + -2x Solving -57 + 7x = 105 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -57 + 7x + 2x = 105 + -2x + 2x Combine like terms: 7x + 2x = 9x -57 + 9x = 105 + -2x + 2x Combine like terms: -2x + 2x = 0 -57 + 9x = 105 + 0 -57 + 9x = 105 Add '57' to each side of the equation. -57 + 57 + 9x = 105 + 57 Combine like terms: -57 + 57 = 0 0 + 9x = 105 + 57 9x = 105 + 57 Combine like terms: 105 + 57 = 162 9x = 162 Divide each side by '9'. x = 18 Simplifying x = 18
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