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Simplifying 3(3x + 6) = 4(7x + -1) Reorder the terms: 3(6 + 3x) = 4(7x + -1) (6 * 3 + 3x * 3) = 4(7x + -1) (18 + 9x) = 4(7x + -1) Reorder the terms: 18 + 9x = 4(-1 + 7x) 18 + 9x = (-1 * 4 + 7x * 4) 18 + 9x = (-4 + 28x) Solving 18 + 9x = -4 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. 18 + 9x + -28x = -4 + 28x + -28x Combine like terms: 9x + -28x = -19x 18 + -19x = -4 + 28x + -28x Combine like terms: 28x + -28x = 0 18 + -19x = -4 + 0 18 + -19x = -4 Add '-18' to each side of the equation. 18 + -18 + -19x = -4 + -18 Combine like terms: 18 + -18 = 0 0 + -19x = -4 + -18 -19x = -4 + -18 Combine like terms: -4 + -18 = -22 -19x = -22 Divide each side by '-19'. x = 1.157894737 Simplifying x = 1.157894737
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