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Simplifying 2(5x + 6) = 3(3x + 1) + -4 Reorder the terms: 2(6 + 5x) = 3(3x + 1) + -4 (6 * 2 + 5x * 2) = 3(3x + 1) + -4 (12 + 10x) = 3(3x + 1) + -4 Reorder the terms: 12 + 10x = 3(1 + 3x) + -4 12 + 10x = (1 * 3 + 3x * 3) + -4 12 + 10x = (3 + 9x) + -4 Reorder the terms: 12 + 10x = 3 + -4 + 9x Combine like terms: 3 + -4 = -1 12 + 10x = -1 + 9x Solving 12 + 10x = -1 + 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. 12 + 10x + -9x = -1 + 9x + -9x Combine like terms: 10x + -9x = 1x 12 + 1x = -1 + 9x + -9x Combine like terms: 9x + -9x = 0 12 + 1x = -1 + 0 12 + 1x = -1 Add '-12' to each side of the equation. 12 + -12 + 1x = -1 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = -1 + -12 1x = -1 + -12 Combine like terms: -1 + -12 = -13 1x = -13 Divide each side by '1'. x = -13 Simplifying x = -13
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