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Simplifying 2(2x + -4) + -4(x + -4) = 1(3x) Reorder the terms: 2(-4 + 2x) + -4(x + -4) = 1(3x) (-4 * 2 + 2x * 2) + -4(x + -4) = 1(3x) (-8 + 4x) + -4(x + -4) = 1(3x) Reorder the terms: -8 + 4x + -4(-4 + x) = 1(3x) -8 + 4x + (-4 * -4 + x * -4) = 1(3x) -8 + 4x + (16 + -4x) = 1(3x) Reorder the terms: -8 + 16 + 4x + -4x = 1(3x) Combine like terms: -8 + 16 = 8 8 + 4x + -4x = 1(3x) Combine like terms: 4x + -4x = 0 8 + 0 = 1(3x) 8 = 1(3x) Remove parenthesis around (3x) 8 = 1 * 3x Multiply 1 * 3 8 = 3x Solving 8 = 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 8 + -3x = 3x + -3x Combine like terms: 3x + -3x = 0 8 + -3x = 0 Add '-8' to each side of the equation. 8 + -8 + -3x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3x = 0 + -8 -3x = 0 + -8 Combine like terms: 0 + -8 = -8 -3x = -8 Divide each side by '-3'. x = 2.666666667 Simplifying x = 2.666666667
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