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Simplifying 12(x + 3) = 10x + 19 Reorder the terms: 12(3 + x) = 10x + 19 (3 * 12 + x * 12) = 10x + 19 (36 + 12x) = 10x + 19 Reorder the terms: 36 + 12x = 19 + 10x Solving 36 + 12x = 19 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 36 + 12x + -10x = 19 + 10x + -10x Combine like terms: 12x + -10x = 2x 36 + 2x = 19 + 10x + -10x Combine like terms: 10x + -10x = 0 36 + 2x = 19 + 0 36 + 2x = 19 Add '-36' to each side of the equation. 36 + -36 + 2x = 19 + -36 Combine like terms: 36 + -36 = 0 0 + 2x = 19 + -36 2x = 19 + -36 Combine like terms: 19 + -36 = -17 2x = -17 Divide each side by '2'. x = -8.5 Simplifying x = -8.5
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