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Simplifying 6(x + -3) + -6 = -4(-4x + 2) + -4x Reorder the terms: 6(-3 + x) + -6 = -4(-4x + 2) + -4x (-3 * 6 + x * 6) + -6 = -4(-4x + 2) + -4x (-18 + 6x) + -6 = -4(-4x + 2) + -4x Reorder the terms: -18 + -6 + 6x = -4(-4x + 2) + -4x Combine like terms: -18 + -6 = -24 -24 + 6x = -4(-4x + 2) + -4x Reorder the terms: -24 + 6x = -4(2 + -4x) + -4x -24 + 6x = (2 * -4 + -4x * -4) + -4x -24 + 6x = (-8 + 16x) + -4x Combine like terms: 16x + -4x = 12x -24 + 6x = -8 + 12x Solving -24 + 6x = -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. -24 + 6x + -12x = -8 + 12x + -12x Combine like terms: 6x + -12x = -6x -24 + -6x = -8 + 12x + -12x Combine like terms: 12x + -12x = 0 -24 + -6x = -8 + 0 -24 + -6x = -8 Add '24' to each side of the equation. -24 + 24 + -6x = -8 + 24 Combine like terms: -24 + 24 = 0 0 + -6x = -8 + 24 -6x = -8 + 24 Combine like terms: -8 + 24 = 16 -6x = 16 Divide each side by '-6'. x = -2.666666667 Simplifying x = -2.666666667
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