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Simplifying 4(5x + 9) = -2(x + 7) Reorder the terms: 4(9 + 5x) = -2(x + 7) (9 * 4 + 5x * 4) = -2(x + 7) (36 + 20x) = -2(x + 7) Reorder the terms: 36 + 20x = -2(7 + x) 36 + 20x = (7 * -2 + x * -2) 36 + 20x = (-14 + -2x) Solving 36 + 20x = -14 + -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. 36 + 20x + 2x = -14 + -2x + 2x Combine like terms: 20x + 2x = 22x 36 + 22x = -14 + -2x + 2x Combine like terms: -2x + 2x = 0 36 + 22x = -14 + 0 36 + 22x = -14 Add '-36' to each side of the equation. 36 + -36 + 22x = -14 + -36 Combine like terms: 36 + -36 = 0 0 + 22x = -14 + -36 22x = -14 + -36 Combine like terms: -14 + -36 = -50 22x = -50 Divide each side by '22'. x = -2.272727273 Simplifying x = -2.272727273
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