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Simplifying 12x + 19 = 2(8 + 5x) Reorder the terms: 19 + 12x = 2(8 + 5x) 19 + 12x = (8 * 2 + 5x * 2) 19 + 12x = (16 + 10x) Solving 19 + 12x = 16 + 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. 19 + 12x + -10x = 16 + 10x + -10x Combine like terms: 12x + -10x = 2x 19 + 2x = 16 + 10x + -10x Combine like terms: 10x + -10x = 0 19 + 2x = 16 + 0 19 + 2x = 16 Add '-19' to each side of the equation. 19 + -19 + 2x = 16 + -19 Combine like terms: 19 + -19 = 0 0 + 2x = 16 + -19 2x = 16 + -19 Combine like terms: 16 + -19 = -3 2x = -3 Divide each side by '2'. x = -1.5 Simplifying x = -1.5
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