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Simplifying 3(7x + -9) = 4(5 + -10x) Reorder the terms: 3(-9 + 7x) = 4(5 + -10x) (-9 * 3 + 7x * 3) = 4(5 + -10x) (-27 + 21x) = 4(5 + -10x) -27 + 21x = (5 * 4 + -10x * 4) -27 + 21x = (20 + -40x) Solving -27 + 21x = 20 + -40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40x' to each side of the equation. -27 + 21x + 40x = 20 + -40x + 40x Combine like terms: 21x + 40x = 61x -27 + 61x = 20 + -40x + 40x Combine like terms: -40x + 40x = 0 -27 + 61x = 20 + 0 -27 + 61x = 20 Add '27' to each side of the equation. -27 + 27 + 61x = 20 + 27 Combine like terms: -27 + 27 = 0 0 + 61x = 20 + 27 61x = 20 + 27 Combine like terms: 20 + 27 = 47 61x = 47 Divide each side by '61'. x = 0.7704918033 Simplifying x = 0.7704918033
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