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Simplifying -2(x + -5) + -3x = 6x + 109 Reorder the terms: -2(-5 + x) + -3x = 6x + 109 (-5 * -2 + x * -2) + -3x = 6x + 109 (10 + -2x) + -3x = 6x + 109 Combine like terms: -2x + -3x = -5x 10 + -5x = 6x + 109 Reorder the terms: 10 + -5x = 109 + 6x Solving 10 + -5x = 109 + 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. 10 + -5x + -6x = 109 + 6x + -6x Combine like terms: -5x + -6x = -11x 10 + -11x = 109 + 6x + -6x Combine like terms: 6x + -6x = 0 10 + -11x = 109 + 0 10 + -11x = 109 Add '-10' to each side of the equation. 10 + -10 + -11x = 109 + -10 Combine like terms: 10 + -10 = 0 0 + -11x = 109 + -10 -11x = 109 + -10 Combine like terms: 109 + -10 = 99 -11x = 99 Divide each side by '-11'. x = -9 Simplifying x = -9
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