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Simplifying 3(2x + 1) + -4(2x + -4) = 13 Reorder the terms: 3(1 + 2x) + -4(2x + -4) = 13 (1 * 3 + 2x * 3) + -4(2x + -4) = 13 (3 + 6x) + -4(2x + -4) = 13 Reorder the terms: 3 + 6x + -4(-4 + 2x) = 13 3 + 6x + (-4 * -4 + 2x * -4) = 13 3 + 6x + (16 + -8x) = 13 Reorder the terms: 3 + 16 + 6x + -8x = 13 Combine like terms: 3 + 16 = 19 19 + 6x + -8x = 13 Combine like terms: 6x + -8x = -2x 19 + -2x = 13 Solving 19 + -2x = 13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -2x = 13 + -19 Combine like terms: 19 + -19 = 0 0 + -2x = 13 + -19 -2x = 13 + -19 Combine like terms: 13 + -19 = -6 -2x = -6 Divide each side by '-2'. x = 3 Simplifying x = 3
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