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Simplifying -5(x + 4) = 10 + -40 + -7x Reorder the terms: -5(4 + x) = 10 + -40 + -7x (4 * -5 + x * -5) = 10 + -40 + -7x (-20 + -5x) = 10 + -40 + -7x Combine like terms: 10 + -40 = -30 -20 + -5x = -30 + -7x Solving -20 + -5x = -30 + -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 = -30 + -7x + 7x Combine like terms: -5x + 7x = 2x -20 + 2x = -30 + -7x + 7x Combine like terms: -7x + 7x = 0 -20 + 2x = -30 + 0 -20 + 2x = -30 Add '20' to each side of the equation. -20 + 20 + 2x = -30 + 20 Combine like terms: -20 + 20 = 0 0 + 2x = -30 + 20 2x = -30 + 20 Combine like terms: -30 + 20 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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