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Simplifying 184 + -7(2x + 5) = 301 + 6(x + 1) + -6 Reorder the terms: 184 + -7(5 + 2x) = 301 + 6(x + 1) + -6 184 + (5 * -7 + 2x * -7) = 301 + 6(x + 1) + -6 184 + (-35 + -14x) = 301 + 6(x + 1) + -6 Combine like terms: 184 + -35 = 149 149 + -14x = 301 + 6(x + 1) + -6 Reorder the terms: 149 + -14x = 301 + 6(1 + x) + -6 149 + -14x = 301 + (1 * 6 + x * 6) + -6 149 + -14x = 301 + (6 + 6x) + -6 Reorder the terms: 149 + -14x = 301 + 6 + -6 + 6x Combine like terms: 301 + 6 = 307 149 + -14x = 307 + -6 + 6x Combine like terms: 307 + -6 = 301 149 + -14x = 301 + 6x Solving 149 + -14x = 301 + 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. 149 + -14x + -6x = 301 + 6x + -6x Combine like terms: -14x + -6x = -20x 149 + -20x = 301 + 6x + -6x Combine like terms: 6x + -6x = 0 149 + -20x = 301 + 0 149 + -20x = 301 Add '-149' to each side of the equation. 149 + -149 + -20x = 301 + -149 Combine like terms: 149 + -149 = 0 0 + -20x = 301 + -149 -20x = 301 + -149 Combine like terms: 301 + -149 = 152 -20x = 152 Divide each side by '-20'. x = -7.6 Simplifying x = -7.6
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