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Simplifying -9(x + 3) = 4(7x + 1) Reorder the terms: -9(3 + x) = 4(7x + 1) (3 * -9 + x * -9) = 4(7x + 1) (-27 + -9x) = 4(7x + 1) Reorder the terms: -27 + -9x = 4(1 + 7x) -27 + -9x = (1 * 4 + 7x * 4) -27 + -9x = (4 + 28x) Solving -27 + -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. -27 + -9x + -28x = 4 + 28x + -28x Combine like terms: -9x + -28x = -37x -27 + -37x = 4 + 28x + -28x Combine like terms: 28x + -28x = 0 -27 + -37x = 4 + 0 -27 + -37x = 4 Add '27' to each side of the equation. -27 + 27 + -37x = 4 + 27 Combine like terms: -27 + 27 = 0 0 + -37x = 4 + 27 -37x = 4 + 27 Combine like terms: 4 + 27 = 31 -37x = 31 Divide each side by '-37'. x = -0.8378378378 Simplifying x = -0.8378378378
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