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Simplifying 3(2x + 4) + -4(3 + -4x) = 2(x + 7) Reorder the terms: 3(4 + 2x) + -4(3 + -4x) = 2(x + 7) (4 * 3 + 2x * 3) + -4(3 + -4x) = 2(x + 7) (12 + 6x) + -4(3 + -4x) = 2(x + 7) 12 + 6x + (3 * -4 + -4x * -4) = 2(x + 7) 12 + 6x + (-12 + 16x) = 2(x + 7) Reorder the terms: 12 + -12 + 6x + 16x = 2(x + 7) Combine like terms: 12 + -12 = 0 0 + 6x + 16x = 2(x + 7) 6x + 16x = 2(x + 7) Combine like terms: 6x + 16x = 22x 22x = 2(x + 7) Reorder the terms: 22x = 2(7 + x) 22x = (7 * 2 + x * 2) 22x = (14 + 2x) Solving 22x = 14 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 22x + -2x = 14 + 2x + -2x Combine like terms: 22x + -2x = 20x 20x = 14 + 2x + -2x Combine like terms: 2x + -2x = 0 20x = 14 + 0 20x = 14 Divide each side by '20'. x = 0.7 Simplifying x = 0.7
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