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Simplifying 6x + -4(1 + -3x) = 4(2x + -6) 6x + (1 * -4 + -3x * -4) = 4(2x + -6) 6x + (-4 + 12x) = 4(2x + -6) Reorder the terms: -4 + 6x + 12x = 4(2x + -6) Combine like terms: 6x + 12x = 18x -4 + 18x = 4(2x + -6) Reorder the terms: -4 + 18x = 4(-6 + 2x) -4 + 18x = (-6 * 4 + 2x * 4) -4 + 18x = (-24 + 8x) Solving -4 + 18x = -24 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -4 + 18x + -8x = -24 + 8x + -8x Combine like terms: 18x + -8x = 10x -4 + 10x = -24 + 8x + -8x Combine like terms: 8x + -8x = 0 -4 + 10x = -24 + 0 -4 + 10x = -24 Add '4' to each side of the equation. -4 + 4 + 10x = -24 + 4 Combine like terms: -4 + 4 = 0 0 + 10x = -24 + 4 10x = -24 + 4 Combine like terms: -24 + 4 = -20 10x = -20 Divide each side by '10'. x = -2 Simplifying x = -2
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