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