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Simplifying 3(4x + 3) + 2(5 + -2x) = 19 Reorder the terms: 3(3 + 4x) + 2(5 + -2x) = 19 (3 * 3 + 4x * 3) + 2(5 + -2x) = 19 (9 + 12x) + 2(5 + -2x) = 19 9 + 12x + (5 * 2 + -2x * 2) = 19 9 + 12x + (10 + -4x) = 19 Reorder the terms: 9 + 10 + 12x + -4x = 19 Combine like terms: 9 + 10 = 19 19 + 12x + -4x = 19 Combine like terms: 12x + -4x = 8x 19 + 8x = 19 Add '-19' to each side of the equation. 19 + -19 + 8x = 19 + -19 Combine like terms: 19 + -19 = 0 0 + 8x = 19 + -19 8x = 19 + -19 Combine like terms: 19 + -19 = 0 8x = 0 Solving 8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '8'. x = 0 Simplifying x = 0
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