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Simplifying (2x + 4)(-5) = x + 2 Reorder the terms: (4 + 2x)(-5) = x + 2 Reorder the terms for easier multiplication: -5(4 + 2x) = x + 2 (4 * -5 + 2x * -5) = x + 2 (-20 + -10x) = x + 2 Reorder the terms: -20 + -10x = 2 + x Solving -20 + -10x = 2 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -20 + -10x + -1x = 2 + x + -1x Combine like terms: -10x + -1x = -11x -20 + -11x = 2 + x + -1x Combine like terms: x + -1x = 0 -20 + -11x = 2 + 0 -20 + -11x = 2 Add '20' to each side of the equation. -20 + 20 + -11x = 2 + 20 Combine like terms: -20 + 20 = 0 0 + -11x = 2 + 20 -11x = 2 + 20 Combine like terms: 2 + 20 = 22 -11x = 22 Divide each side by '-11'. x = -2 Simplifying x = -2
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