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Simplifying 7(3x + 1) = 3x + -9x Reorder the terms: 7(1 + 3x) = 3x + -9x (1 * 7 + 3x * 7) = 3x + -9x (7 + 21x) = 3x + -9x Combine like terms: 3x + -9x = -6x 7 + 21x = -6x Solving 7 + 21x = -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 7 + 21x + 6x = -6x + 6x Combine like terms: 21x + 6x = 27x 7 + 27x = -6x + 6x Combine like terms: -6x + 6x = 0 7 + 27x = 0 Add '-7' to each side of the equation. 7 + -7 + 27x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 27x = 0 + -7 27x = 0 + -7 Combine like terms: 0 + -7 = -7 27x = -7 Divide each side by '27'. x = -0.2592592593 Simplifying x = -0.2592592593
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