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Simplifying 3(2x + -4) + x = 4x + -4 Reorder the terms: 3(-4 + 2x) + x = 4x + -4 (-4 * 3 + 2x * 3) + x = 4x + -4 (-12 + 6x) + x = 4x + -4 Combine like terms: 6x + x = 7x -12 + 7x = 4x + -4 Reorder the terms: -12 + 7x = -4 + 4x Solving -12 + 7x = -4 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -12 + 7x + -4x = -4 + 4x + -4x Combine like terms: 7x + -4x = 3x -12 + 3x = -4 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 + 3x = -4 + 0 -12 + 3x = -4 Add '12' to each side of the equation. -12 + 12 + 3x = -4 + 12 Combine like terms: -12 + 12 = 0 0 + 3x = -4 + 12 3x = -4 + 12 Combine like terms: -4 + 12 = 8 3x = 8 Divide each side by '3'. x = 2.666666667 Simplifying x = 2.666666667
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