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Simplifying 6(2x + -4) = x + -1(4x + -6) Reorder the terms: 6(-4 + 2x) = x + -1(4x + -6) (-4 * 6 + 2x * 6) = x + -1(4x + -6) (-24 + 12x) = x + -1(4x + -6) Reorder the terms: -24 + 12x = x + -1(-6 + 4x) -24 + 12x = x + (-6 * -1 + 4x * -1) -24 + 12x = x + (6 + -4x) Reorder the terms: -24 + 12x = 6 + x + -4x Combine like terms: x + -4x = -3x -24 + 12x = 6 + -3x Solving -24 + 12x = 6 + -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. -24 + 12x + 3x = 6 + -3x + 3x Combine like terms: 12x + 3x = 15x -24 + 15x = 6 + -3x + 3x Combine like terms: -3x + 3x = 0 -24 + 15x = 6 + 0 -24 + 15x = 6 Add '24' to each side of the equation. -24 + 24 + 15x = 6 + 24 Combine like terms: -24 + 24 = 0 0 + 15x = 6 + 24 15x = 6 + 24 Combine like terms: 6 + 24 = 30 15x = 30 Divide each side by '15'. x = 2 Simplifying x = 2
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