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Simplifying 2(5x + 10) + 7 = 6(2x + 5) + -9 Reorder the terms: 2(10 + 5x) + 7 = 6(2x + 5) + -9 (10 * 2 + 5x * 2) + 7 = 6(2x + 5) + -9 (20 + 10x) + 7 = 6(2x + 5) + -9 Reorder the terms: 20 + 7 + 10x = 6(2x + 5) + -9 Combine like terms: 20 + 7 = 27 27 + 10x = 6(2x + 5) + -9 Reorder the terms: 27 + 10x = 6(5 + 2x) + -9 27 + 10x = (5 * 6 + 2x * 6) + -9 27 + 10x = (30 + 12x) + -9 Reorder the terms: 27 + 10x = 30 + -9 + 12x Combine like terms: 30 + -9 = 21 27 + 10x = 21 + 12x Solving 27 + 10x = 21 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 27 + 10x + -12x = 21 + 12x + -12x Combine like terms: 10x + -12x = -2x 27 + -2x = 21 + 12x + -12x Combine like terms: 12x + -12x = 0 27 + -2x = 21 + 0 27 + -2x = 21 Add '-27' to each side of the equation. 27 + -27 + -2x = 21 + -27 Combine like terms: 27 + -27 = 0 0 + -2x = 21 + -27 -2x = 21 + -27 Combine like terms: 21 + -27 = -6 -2x = -6 Divide each side by '-2'. x = 3 Simplifying x = 3
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