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