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Simplifying 35 + 5x + -11 = -6(2 + -1x) + 8 Reorder the terms: 35 + -11 + 5x = -6(2 + -1x) + 8 Combine like terms: 35 + -11 = 24 24 + 5x = -6(2 + -1x) + 8 24 + 5x = (2 * -6 + -1x * -6) + 8 24 + 5x = (-12 + 6x) + 8 Reorder the terms: 24 + 5x = -12 + 8 + 6x Combine like terms: -12 + 8 = -4 24 + 5x = -4 + 6x Solving 24 + 5x = -4 + 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. 24 + 5x + -6x = -4 + 6x + -6x Combine like terms: 5x + -6x = -1x 24 + -1x = -4 + 6x + -6x Combine like terms: 6x + -6x = 0 24 + -1x = -4 + 0 24 + -1x = -4 Add '-24' to each side of the equation. 24 + -24 + -1x = -4 + -24 Combine like terms: 24 + -24 = 0 0 + -1x = -4 + -24 -1x = -4 + -24 Combine like terms: -4 + -24 = -28 -1x = -28 Divide each side by '-1'. x = 28 Simplifying x = 28
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