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Simplifying 7(5x + 3) = 8x + -6 + 3 Reorder the terms: 7(3 + 5x) = 8x + -6 + 3 (3 * 7 + 5x * 7) = 8x + -6 + 3 (21 + 35x) = 8x + -6 + 3 Reorder the terms: 21 + 35x = -6 + 3 + 8x Combine like terms: -6 + 3 = -3 21 + 35x = -3 + 8x Solving 21 + 35x = -3 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 21 + 35x + -8x = -3 + 8x + -8x Combine like terms: 35x + -8x = 27x 21 + 27x = -3 + 8x + -8x Combine like terms: 8x + -8x = 0 21 + 27x = -3 + 0 21 + 27x = -3 Add '-21' to each side of the equation. 21 + -21 + 27x = -3 + -21 Combine like terms: 21 + -21 = 0 0 + 27x = -3 + -21 27x = -3 + -21 Combine like terms: -3 + -21 = -24 27x = -24 Divide each side by '27'. x = -0.8888888889 Simplifying x = -0.8888888889
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