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Simplifying 4(2x + -3) = 24 + -4x Reorder the terms: 4(-3 + 2x) = 24 + -4x (-3 * 4 + 2x * 4) = 24 + -4x (-12 + 8x) = 24 + -4x Solving -12 + 8x = 24 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -12 + 8x + 4x = 24 + -4x + 4x Combine like terms: 8x + 4x = 12x -12 + 12x = 24 + -4x + 4x Combine like terms: -4x + 4x = 0 -12 + 12x = 24 + 0 -12 + 12x = 24 Add '12' to each side of the equation. -12 + 12 + 12x = 24 + 12 Combine like terms: -12 + 12 = 0 0 + 12x = 24 + 12 12x = 24 + 12 Combine like terms: 24 + 12 = 36 12x = 36 Divide each side by '12'. x = 3 Simplifying x = 3
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