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Simplifying 2x + 4(2x + -1) = 6(x + -4) Reorder the terms: 2x + 4(-1 + 2x) = 6(x + -4) 2x + (-1 * 4 + 2x * 4) = 6(x + -4) 2x + (-4 + 8x) = 6(x + -4) Reorder the terms: -4 + 2x + 8x = 6(x + -4) Combine like terms: 2x + 8x = 10x -4 + 10x = 6(x + -4) Reorder the terms: -4 + 10x = 6(-4 + x) -4 + 10x = (-4 * 6 + x * 6) -4 + 10x = (-24 + 6x) Solving -4 + 10x = -24 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -4 + 10x + -6x = -24 + 6x + -6x Combine like terms: 10x + -6x = 4x -4 + 4x = -24 + 6x + -6x Combine like terms: 6x + -6x = 0 -4 + 4x = -24 + 0 -4 + 4x = -24 Add '4' to each side of the equation. -4 + 4 + 4x = -24 + 4 Combine like terms: -4 + 4 = 0 0 + 4x = -24 + 4 4x = -24 + 4 Combine like terms: -24 + 4 = -20 4x = -20 Divide each side by '4'. x = -5 Simplifying x = -5
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