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Simplifying 9(3x + 1) = 2x + -6x Reorder the terms: 9(1 + 3x) = 2x + -6x (1 * 9 + 3x * 9) = 2x + -6x (9 + 27x) = 2x + -6x Combine like terms: 2x + -6x = -4x 9 + 27x = -4x Solving 9 + 27x = -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 9 + 27x + 4x = -4x + 4x Combine like terms: 27x + 4x = 31x 9 + 31x = -4x + 4x Combine like terms: -4x + 4x = 0 9 + 31x = 0 Add '-9' to each side of the equation. 9 + -9 + 31x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 31x = 0 + -9 31x = 0 + -9 Combine like terms: 0 + -9 = -9 31x = -9 Divide each side by '31'. x = -0.2903225806 Simplifying x = -0.2903225806
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