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Simplifying 34 + 5x + -11 = -6(2 + -1x) Reorder the terms: 34 + -11 + 5x = -6(2 + -1x) Combine like terms: 34 + -11 = 23 23 + 5x = -6(2 + -1x) 23 + 5x = (2 * -6 + -1x * -6) 23 + 5x = (-12 + 6x) Solving 23 + 5x = -12 + 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. 23 + 5x + -6x = -12 + 6x + -6x Combine like terms: 5x + -6x = -1x 23 + -1x = -12 + 6x + -6x Combine like terms: 6x + -6x = 0 23 + -1x = -12 + 0 23 + -1x = -12 Add '-23' to each side of the equation. 23 + -23 + -1x = -12 + -23 Combine like terms: 23 + -23 = 0 0 + -1x = -12 + -23 -1x = -12 + -23 Combine like terms: -12 + -23 = -35 -1x = -35 Divide each side by '-1'. x = 35 Simplifying x = 35
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