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Simplifying 4(3x + -2) = 40 + -12x Reorder the terms: 4(-2 + 3x) = 40 + -12x (-2 * 4 + 3x * 4) = 40 + -12x (-8 + 12x) = 40 + -12x Solving -8 + 12x = 40 + -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. -8 + 12x + 12x = 40 + -12x + 12x Combine like terms: 12x + 12x = 24x -8 + 24x = 40 + -12x + 12x Combine like terms: -12x + 12x = 0 -8 + 24x = 40 + 0 -8 + 24x = 40 Add '8' to each side of the equation. -8 + 8 + 24x = 40 + 8 Combine like terms: -8 + 8 = 0 0 + 24x = 40 + 8 24x = 40 + 8 Combine like terms: 40 + 8 = 48 24x = 48 Divide each side by '24'. x = 2 Simplifying x = 2
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