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Simplifying 184 + -7(2x + 5) = -1(7x + 9) + -3(2x + 5) + -12 Reorder the terms: 184 + -7(5 + 2x) = -1(7x + 9) + -3(2x + 5) + -12 184 + (5 * -7 + 2x * -7) = -1(7x + 9) + -3(2x + 5) + -12 184 + (-35 + -14x) = -1(7x + 9) + -3(2x + 5) + -12 Combine like terms: 184 + -35 = 149 149 + -14x = -1(7x + 9) + -3(2x + 5) + -12 Reorder the terms: 149 + -14x = -1(9 + 7x) + -3(2x + 5) + -12 149 + -14x = (9 * -1 + 7x * -1) + -3(2x + 5) + -12 149 + -14x = (-9 + -7x) + -3(2x + 5) + -12 Reorder the terms: 149 + -14x = -9 + -7x + -3(5 + 2x) + -12 149 + -14x = -9 + -7x + (5 * -3 + 2x * -3) + -12 149 + -14x = -9 + -7x + (-15 + -6x) + -12 Reorder the terms: 149 + -14x = -9 + -15 + -12 + -7x + -6x Combine like terms: -9 + -15 = -24 149 + -14x = -24 + -12 + -7x + -6x Combine like terms: -24 + -12 = -36 149 + -14x = -36 + -7x + -6x Combine like terms: -7x + -6x = -13x 149 + -14x = -36 + -13x Solving 149 + -14x = -36 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. 149 + -14x + 13x = -36 + -13x + 13x Combine like terms: -14x + 13x = -1x 149 + -1x = -36 + -13x + 13x Combine like terms: -13x + 13x = 0 149 + -1x = -36 + 0 149 + -1x = -36 Add '-149' to each side of the equation. 149 + -149 + -1x = -36 + -149 Combine like terms: 149 + -149 = 0 0 + -1x = -36 + -149 -1x = -36 + -149 Combine like terms: -36 + -149 = -185 -1x = -185 Divide each side by '-1'. x = 185 Simplifying x = 185
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