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Simplifying 3(2x + -1) + -2(2x + -4) = 19 Reorder the terms: 3(-1 + 2x) + -2(2x + -4) = 19 (-1 * 3 + 2x * 3) + -2(2x + -4) = 19 (-3 + 6x) + -2(2x + -4) = 19 Reorder the terms: -3 + 6x + -2(-4 + 2x) = 19 -3 + 6x + (-4 * -2 + 2x * -2) = 19 -3 + 6x + (8 + -4x) = 19 Reorder the terms: -3 + 8 + 6x + -4x = 19 Combine like terms: -3 + 8 = 5 5 + 6x + -4x = 19 Combine like terms: 6x + -4x = 2x 5 + 2x = 19 Solving 5 + 2x = 19 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2x = 19 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 19 + -5 2x = 19 + -5 Combine like terms: 19 + -5 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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