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Simplifying 184 + -7(2x + 5) = 30 + 6(x + -1) + -6 Reorder the terms: 184 + -7(5 + 2x) = 30 + 6(x + -1) + -6 184 + (5 * -7 + 2x * -7) = 30 + 6(x + -1) + -6 184 + (-35 + -14x) = 30 + 6(x + -1) + -6 Combine like terms: 184 + -35 = 149 149 + -14x = 30 + 6(x + -1) + -6 Reorder the terms: 149 + -14x = 30 + 6(-1 + x) + -6 149 + -14x = 30 + (-1 * 6 + x * 6) + -6 149 + -14x = 30 + (-6 + 6x) + -6 Reorder the terms: 149 + -14x = 30 + -6 + -6 + 6x Combine like terms: 30 + -6 = 24 149 + -14x = 24 + -6 + 6x Combine like terms: 24 + -6 = 18 149 + -14x = 18 + 6x Solving 149 + -14x = 18 + 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 = 18 + 6x + -6x Combine like terms: -14x + -6x = -20x 149 + -20x = 18 + 6x + -6x Combine like terms: 6x + -6x = 0 149 + -20x = 18 + 0 149 + -20x = 18 Add '-149' to each side of the equation. 149 + -149 + -20x = 18 + -149 Combine like terms: 149 + -149 = 0 0 + -20x = 18 + -149 -20x = 18 + -149 Combine like terms: 18 + -149 = -131 -20x = -131 Divide each side by '-20'. x = 6.55 Simplifying x = 6.55
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