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Simplifying -4(3 + -4x) = 2(x + 7) (3 * -4 + -4x * -4) = 2(x + 7) (-12 + 16x) = 2(x + 7) Reorder the terms: -12 + 16x = 2(7 + x) -12 + 16x = (7 * 2 + x * 2) -12 + 16x = (14 + 2x) Solving -12 + 16x = 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. -12 + 16x + -2x = 14 + 2x + -2x Combine like terms: 16x + -2x = 14x -12 + 14x = 14 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + 14x = 14 + 0 -12 + 14x = 14 Add '12' to each side of the equation. -12 + 12 + 14x = 14 + 12 Combine like terms: -12 + 12 = 0 0 + 14x = 14 + 12 14x = 14 + 12 Combine like terms: 14 + 12 = 26 14x = 26 Divide each side by '14'. x = 1.857142857 Simplifying x = 1.857142857
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