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Simplifying 35 + 5x + -11 = -6(2 + -1x) + 8x Reorder the terms: 35 + -11 + 5x = -6(2 + -1x) + 8x Combine like terms: 35 + -11 = 24 24 + 5x = -6(2 + -1x) + 8x 24 + 5x = (2 * -6 + -1x * -6) + 8x 24 + 5x = (-12 + 6x) + 8x Combine like terms: 6x + 8x = 14x 24 + 5x = -12 + 14x Solving 24 + 5x = -12 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 24 + 5x + -14x = -12 + 14x + -14x Combine like terms: 5x + -14x = -9x 24 + -9x = -12 + 14x + -14x Combine like terms: 14x + -14x = 0 24 + -9x = -12 + 0 24 + -9x = -12 Add '-24' to each side of the equation. 24 + -24 + -9x = -12 + -24 Combine like terms: 24 + -24 = 0 0 + -9x = -12 + -24 -9x = -12 + -24 Combine like terms: -12 + -24 = -36 -9x = -36 Divide each side by '-9'. x = 4 Simplifying x = 4
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