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Simplifying 4(5x + -9) = -2(x + 3) Reorder the terms: 4(-9 + 5x) = -2(x + 3) (-9 * 4 + 5x * 4) = -2(x + 3) (-36 + 20x) = -2(x + 3) Reorder the terms: -36 + 20x = -2(3 + x) -36 + 20x = (3 * -2 + x * -2) -36 + 20x = (-6 + -2x) Solving -36 + 20x = -6 + -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 = -6 + -2x + 2x Combine like terms: 20x + 2x = 22x -36 + 22x = -6 + -2x + 2x Combine like terms: -2x + 2x = 0 -36 + 22x = -6 + 0 -36 + 22x = -6 Add '36' to each side of the equation. -36 + 36 + 22x = -6 + 36 Combine like terms: -36 + 36 = 0 0 + 22x = -6 + 36 22x = -6 + 36 Combine like terms: -6 + 36 = 30 22x = 30 Divide each side by '22'. x = 1.363636364 Simplifying x = 1.363636364
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