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Simplifying 7(2x + 3) + 3(2x + -4) = 19 Reorder the terms: 7(3 + 2x) + 3(2x + -4) = 19 (3 * 7 + 2x * 7) + 3(2x + -4) = 19 (21 + 14x) + 3(2x + -4) = 19 Reorder the terms: 21 + 14x + 3(-4 + 2x) = 19 21 + 14x + (-4 * 3 + 2x * 3) = 19 21 + 14x + (-12 + 6x) = 19 Reorder the terms: 21 + -12 + 14x + 6x = 19 Combine like terms: 21 + -12 = 9 9 + 14x + 6x = 19 Combine like terms: 14x + 6x = 20x 9 + 20x = 19 Solving 9 + 20x = 19 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 20x = 19 + -9 Combine like terms: 9 + -9 = 0 0 + 20x = 19 + -9 20x = 19 + -9 Combine like terms: 19 + -9 = 10 20x = 10 Divide each side by '20'. x = 0.5 Simplifying x = 0.5
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