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Simplifying -137 = 5x + -2(-4x + 10) Reorder the terms: -137 = 5x + -2(10 + -4x) -137 = 5x + (10 * -2 + -4x * -2) -137 = 5x + (-20 + 8x) Reorder the terms: -137 = -20 + 5x + 8x Combine like terms: 5x + 8x = 13x -137 = -20 + 13x Solving -137 = -20 + 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. -137 + -13x = -20 + 13x + -13x Combine like terms: 13x + -13x = 0 -137 + -13x = -20 + 0 -137 + -13x = -20 Add '137' to each side of the equation. -137 + 137 + -13x = -20 + 137 Combine like terms: -137 + 137 = 0 0 + -13x = -20 + 137 -13x = -20 + 137 Combine like terms: -20 + 137 = 117 -13x = 117 Divide each side by '-13'. x = -9 Simplifying x = -9
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