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Simplifying 8 + -7(x + 4) = 9(1 + -3x) Reorder the terms: 8 + -7(4 + x) = 9(1 + -3x) 8 + (4 * -7 + x * -7) = 9(1 + -3x) 8 + (-28 + -7x) = 9(1 + -3x) Combine like terms: 8 + -28 = -20 -20 + -7x = 9(1 + -3x) -20 + -7x = (1 * 9 + -3x * 9) -20 + -7x = (9 + -27x) Solving -20 + -7x = 9 + -27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27x' to each side of the equation. -20 + -7x + 27x = 9 + -27x + 27x Combine like terms: -7x + 27x = 20x -20 + 20x = 9 + -27x + 27x Combine like terms: -27x + 27x = 0 -20 + 20x = 9 + 0 -20 + 20x = 9 Add '20' to each side of the equation. -20 + 20 + 20x = 9 + 20 Combine like terms: -20 + 20 = 0 0 + 20x = 9 + 20 20x = 9 + 20 Combine like terms: 9 + 20 = 29 20x = 29 Divide each side by '20'. x = 1.45 Simplifying x = 1.45
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