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Simplifying -137 = -4x + 3(-3x + -11) Reorder the terms: -137 = -4x + 3(-11 + -3x) -137 = -4x + (-11 * 3 + -3x * 3) -137 = -4x + (-33 + -9x) Reorder the terms: -137 = -33 + -4x + -9x Combine like terms: -4x + -9x = -13x -137 = -33 + -13x Solving -137 = -33 + -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 = -33 + -13x + 13x Combine like terms: -13x + 13x = 0 -137 + 13x = -33 + 0 -137 + 13x = -33 Add '137' to each side of the equation. -137 + 137 + 13x = -33 + 137 Combine like terms: -137 + 137 = 0 0 + 13x = -33 + 137 13x = -33 + 137 Combine like terms: -33 + 137 = 104 13x = 104 Divide each side by '13'. x = 8 Simplifying x = 8
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