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Simplifying 154 + -7(2x + 5) = 301 + 6(x + -1) + -6 Reorder the terms: 154 + -7(5 + 2x) = 301 + 6(x + -1) + -6 154 + (5 * -7 + 2x * -7) = 301 + 6(x + -1) + -6 154 + (-35 + -14x) = 301 + 6(x + -1) + -6 Combine like terms: 154 + -35 = 119 119 + -14x = 301 + 6(x + -1) + -6 Reorder the terms: 119 + -14x = 301 + 6(-1 + x) + -6 119 + -14x = 301 + (-1 * 6 + x * 6) + -6 119 + -14x = 301 + (-6 + 6x) + -6 Reorder the terms: 119 + -14x = 301 + -6 + -6 + 6x Combine like terms: 301 + -6 = 295 119 + -14x = 295 + -6 + 6x Combine like terms: 295 + -6 = 289 119 + -14x = 289 + 6x Solving 119 + -14x = 289 + 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. 119 + -14x + -6x = 289 + 6x + -6x Combine like terms: -14x + -6x = -20x 119 + -20x = 289 + 6x + -6x Combine like terms: 6x + -6x = 0 119 + -20x = 289 + 0 119 + -20x = 289 Add '-119' to each side of the equation. 119 + -119 + -20x = 289 + -119 Combine like terms: 119 + -119 = 0 0 + -20x = 289 + -119 -20x = 289 + -119 Combine like terms: 289 + -119 = 170 -20x = 170 Divide each side by '-20'. x = -8.5 Simplifying x = -8.5
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