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Simplifying -5(x + 6) + 34 = 12 + -6x Reorder the terms: -5(6 + x) + 34 = 12 + -6x (6 * -5 + x * -5) + 34 = 12 + -6x (-30 + -5x) + 34 = 12 + -6x Reorder the terms: -30 + 34 + -5x = 12 + -6x Combine like terms: -30 + 34 = 4 4 + -5x = 12 + -6x Solving 4 + -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. 4 + -5x + 6x = 12 + -6x + 6x Combine like terms: -5x + 6x = 1x 4 + 1x = 12 + -6x + 6x Combine like terms: -6x + 6x = 0 4 + 1x = 12 + 0 4 + 1x = 12 Add '-4' to each side of the equation. 4 + -4 + 1x = 12 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = 12 + -4 1x = 12 + -4 Combine like terms: 12 + -4 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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