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Simplifying 5(x + -4) = 12 + -40 + -7x Reorder the terms: 5(-4 + x) = 12 + -40 + -7x (-4 * 5 + x * 5) = 12 + -40 + -7x (-20 + 5x) = 12 + -40 + -7x Combine like terms: 12 + -40 = -28 -20 + 5x = -28 + -7x Solving -20 + 5x = -28 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -20 + 5x + 7x = -28 + -7x + 7x Combine like terms: 5x + 7x = 12x -20 + 12x = -28 + -7x + 7x Combine like terms: -7x + 7x = 0 -20 + 12x = -28 + 0 -20 + 12x = -28 Add '20' to each side of the equation. -20 + 20 + 12x = -28 + 20 Combine like terms: -20 + 20 = 0 0 + 12x = -28 + 20 12x = -28 + 20 Combine like terms: -28 + 20 = -8 12x = -8 Divide each side by '12'. x = -0.6666666667 Simplifying x = -0.6666666667
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