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Simplifying -5(8x + 9) = 3(7x + -3) Reorder the terms: -5(9 + 8x) = 3(7x + -3) (9 * -5 + 8x * -5) = 3(7x + -3) (-45 + -40x) = 3(7x + -3) Reorder the terms: -45 + -40x = 3(-3 + 7x) -45 + -40x = (-3 * 3 + 7x * 3) -45 + -40x = (-9 + 21x) Solving -45 + -40x = -9 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. -45 + -40x + -21x = -9 + 21x + -21x Combine like terms: -40x + -21x = -61x -45 + -61x = -9 + 21x + -21x Combine like terms: 21x + -21x = 0 -45 + -61x = -9 + 0 -45 + -61x = -9 Add '45' to each side of the equation. -45 + 45 + -61x = -9 + 45 Combine like terms: -45 + 45 = 0 0 + -61x = -9 + 45 -61x = -9 + 45 Combine like terms: -9 + 45 = 36 -61x = 36 Divide each side by '-61'. x = -0.5901639344 Simplifying x = -0.5901639344
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