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Simplifying 8x + 5(6 + -7x) = -7x + 10 8x + (6 * 5 + -7x * 5) = -7x + 10 8x + (30 + -35x) = -7x + 10 Reorder the terms: 30 + 8x + -35x = -7x + 10 Combine like terms: 8x + -35x = -27x 30 + -27x = -7x + 10 Reorder the terms: 30 + -27x = 10 + -7x Solving 30 + -27x = 10 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 30 + -27x + 7x = 10 + -7x + 7x Combine like terms: -27x + 7x = -20x 30 + -20x = 10 + -7x + 7x Combine like terms: -7x + 7x = 0 30 + -20x = 10 + 0 30 + -20x = 10 Add '-30' to each side of the equation. 30 + -30 + -20x = 10 + -30 Combine like terms: 30 + -30 = 0 0 + -20x = 10 + -30 -20x = 10 + -30 Combine like terms: 10 + -30 = -20 -20x = -20 Divide each side by '-20'. x = 1 Simplifying x = 1
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