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Simplifying 6(6 + -4x) + 2x = -8x + -34 (6 * 6 + -4x * 6) + 2x = -8x + -34 (36 + -24x) + 2x = -8x + -34 Combine like terms: -24x + 2x = -22x 36 + -22x = -8x + -34 Reorder the terms: 36 + -22x = -34 + -8x Solving 36 + -22x = -34 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 36 + -22x + 8x = -34 + -8x + 8x Combine like terms: -22x + 8x = -14x 36 + -14x = -34 + -8x + 8x Combine like terms: -8x + 8x = 0 36 + -14x = -34 + 0 36 + -14x = -34 Add '-36' to each side of the equation. 36 + -36 + -14x = -34 + -36 Combine like terms: 36 + -36 = 0 0 + -14x = -34 + -36 -14x = -34 + -36 Combine like terms: -34 + -36 = -70 -14x = -70 Divide each side by '-14'. x = 5 Simplifying x = 5
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