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Simplifying -5(x + 4) = 10(7 + -2x) Reorder the terms: -5(4 + x) = 10(7 + -2x) (4 * -5 + x * -5) = 10(7 + -2x) (-20 + -5x) = 10(7 + -2x) -20 + -5x = (7 * 10 + -2x * 10) -20 + -5x = (70 + -20x) Solving -20 + -5x = 70 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. -20 + -5x + 20x = 70 + -20x + 20x Combine like terms: -5x + 20x = 15x -20 + 15x = 70 + -20x + 20x Combine like terms: -20x + 20x = 0 -20 + 15x = 70 + 0 -20 + 15x = 70 Add '20' to each side of the equation. -20 + 20 + 15x = 70 + 20 Combine like terms: -20 + 20 = 0 0 + 15x = 70 + 20 15x = 70 + 20 Combine like terms: 70 + 20 = 90 15x = 90 Divide each side by '15'. x = 6 Simplifying x = 6
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