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Simplifying 6(x + 5) + -35x = 5x + 12 Reorder the terms: 6(5 + x) + -35x = 5x + 12 (5 * 6 + x * 6) + -35x = 5x + 12 (30 + 6x) + -35x = 5x + 12 Combine like terms: 6x + -35x = -29x 30 + -29x = 5x + 12 Reorder the terms: 30 + -29x = 12 + 5x Solving 30 + -29x = 12 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 30 + -29x + -5x = 12 + 5x + -5x Combine like terms: -29x + -5x = -34x 30 + -34x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 30 + -34x = 12 + 0 30 + -34x = 12 Add '-30' to each side of the equation. 30 + -30 + -34x = 12 + -30 Combine like terms: 30 + -30 = 0 0 + -34x = 12 + -30 -34x = 12 + -30 Combine like terms: 12 + -30 = -18 -34x = -18 Divide each side by '-34'. x = 0.5294117647 Simplifying x = 0.5294117647
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