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Simplifying 180 + -7(2x + 5) = 302 + 6(x + -1) + -5 Reorder the terms: 180 + -7(5 + 2x) = 302 + 6(x + -1) + -5 180 + (5 * -7 + 2x * -7) = 302 + 6(x + -1) + -5 180 + (-35 + -14x) = 302 + 6(x + -1) + -5 Combine like terms: 180 + -35 = 145 145 + -14x = 302 + 6(x + -1) + -5 Reorder the terms: 145 + -14x = 302 + 6(-1 + x) + -5 145 + -14x = 302 + (-1 * 6 + x * 6) + -5 145 + -14x = 302 + (-6 + 6x) + -5 Reorder the terms: 145 + -14x = 302 + -6 + -5 + 6x Combine like terms: 302 + -6 = 296 145 + -14x = 296 + -5 + 6x Combine like terms: 296 + -5 = 291 145 + -14x = 291 + 6x Solving 145 + -14x = 291 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 145 + -14x + -6x = 291 + 6x + -6x Combine like terms: -14x + -6x = -20x 145 + -20x = 291 + 6x + -6x Combine like terms: 6x + -6x = 0 145 + -20x = 291 + 0 145 + -20x = 291 Add '-145' to each side of the equation. 145 + -145 + -20x = 291 + -145 Combine like terms: 145 + -145 = 0 0 + -20x = 291 + -145 -20x = 291 + -145 Combine like terms: 291 + -145 = 146 -20x = 146 Divide each side by '-20'. x = -7.3 Simplifying x = -7.3
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