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Simplifying 6(5x + 2) + -8 = 3x + -7 Reorder the terms: 6(2 + 5x) + -8 = 3x + -7 (2 * 6 + 5x * 6) + -8 = 3x + -7 (12 + 30x) + -8 = 3x + -7 Reorder the terms: 12 + -8 + 30x = 3x + -7 Combine like terms: 12 + -8 = 4 4 + 30x = 3x + -7 Reorder the terms: 4 + 30x = -7 + 3x Solving 4 + 30x = -7 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 4 + 30x + -3x = -7 + 3x + -3x Combine like terms: 30x + -3x = 27x 4 + 27x = -7 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + 27x = -7 + 0 4 + 27x = -7 Add '-4' to each side of the equation. 4 + -4 + 27x = -7 + -4 Combine like terms: 4 + -4 = 0 0 + 27x = -7 + -4 27x = -7 + -4 Combine like terms: -7 + -4 = -11 27x = -11 Divide each side by '27'. x = -0.4074074074 Simplifying x = -0.4074074074
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