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Simplifying 6(2x + 5) + -10 = 9x + 2 Reorder the terms: 6(5 + 2x) + -10 = 9x + 2 (5 * 6 + 2x * 6) + -10 = 9x + 2 (30 + 12x) + -10 = 9x + 2 Reorder the terms: 30 + -10 + 12x = 9x + 2 Combine like terms: 30 + -10 = 20 20 + 12x = 9x + 2 Reorder the terms: 20 + 12x = 2 + 9x Solving 20 + 12x = 2 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 20 + 12x + -9x = 2 + 9x + -9x Combine like terms: 12x + -9x = 3x 20 + 3x = 2 + 9x + -9x Combine like terms: 9x + -9x = 0 20 + 3x = 2 + 0 20 + 3x = 2 Add '-20' to each side of the equation. 20 + -20 + 3x = 2 + -20 Combine like terms: 20 + -20 = 0 0 + 3x = 2 + -20 3x = 2 + -20 Combine like terms: 2 + -20 = -18 3x = -18 Divide each side by '3'. x = -6 Simplifying x = -6
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