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