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Simplifying -2(4x + -6) + -5x + 2x + 9 = 6x + -13 Reorder the terms: -2(-6 + 4x) + -5x + 2x + 9 = 6x + -13 (-6 * -2 + 4x * -2) + -5x + 2x + 9 = 6x + -13 (12 + -8x) + -5x + 2x + 9 = 6x + -13 Reorder the terms: 12 + 9 + -8x + -5x + 2x = 6x + -13 Combine like terms: 12 + 9 = 21 21 + -8x + -5x + 2x = 6x + -13 Combine like terms: -8x + -5x = -13x 21 + -13x + 2x = 6x + -13 Combine like terms: -13x + 2x = -11x 21 + -11x = 6x + -13 Reorder the terms: 21 + -11x = -13 + 6x Solving 21 + -11x = -13 + 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. 21 + -11x + -6x = -13 + 6x + -6x Combine like terms: -11x + -6x = -17x 21 + -17x = -13 + 6x + -6x Combine like terms: 6x + -6x = 0 21 + -17x = -13 + 0 21 + -17x = -13 Add '-21' to each side of the equation. 21 + -21 + -17x = -13 + -21 Combine like terms: 21 + -21 = 0 0 + -17x = -13 + -21 -17x = -13 + -21 Combine like terms: -13 + -21 = -34 -17x = -34 Divide each side by '-17'. x = 2 Simplifying x = 2
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