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Simplifying 3(3x + 4) + -2 = 8x + 12 Reorder the terms: 3(4 + 3x) + -2 = 8x + 12 (4 * 3 + 3x * 3) + -2 = 8x + 12 (12 + 9x) + -2 = 8x + 12 Reorder the terms: 12 + -2 + 9x = 8x + 12 Combine like terms: 12 + -2 = 10 10 + 9x = 8x + 12 Reorder the terms: 10 + 9x = 12 + 8x Solving 10 + 9x = 12 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 10 + 9x + -8x = 12 + 8x + -8x Combine like terms: 9x + -8x = 1x 10 + 1x = 12 + 8x + -8x Combine like terms: 8x + -8x = 0 10 + 1x = 12 + 0 10 + 1x = 12 Add '-10' to each side of the equation. 10 + -10 + 1x = 12 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = 12 + -10 1x = 12 + -10 Combine like terms: 12 + -10 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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