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Simplifying -4(x + 5) = 7 + -2x Reorder the terms: -4(5 + x) = 7 + -2x (5 * -4 + x * -4) = 7 + -2x (-20 + -4x) = 7 + -2x Solving -20 + -4x = 7 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -20 + -4x + 2x = 7 + -2x + 2x Combine like terms: -4x + 2x = -2x -20 + -2x = 7 + -2x + 2x Combine like terms: -2x + 2x = 0 -20 + -2x = 7 + 0 -20 + -2x = 7 Add '20' to each side of the equation. -20 + 20 + -2x = 7 + 20 Combine like terms: -20 + 20 = 0 0 + -2x = 7 + 20 -2x = 7 + 20 Combine like terms: 7 + 20 = 27 -2x = 27 Divide each side by '-2'. x = -13.5 Simplifying x = -13.5
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