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Simplifying 8(2x + 5) + 6 = 6 + 3x Reorder the terms: 8(5 + 2x) + 6 = 6 + 3x (5 * 8 + 2x * 8) + 6 = 6 + 3x (40 + 16x) + 6 = 6 + 3x Reorder the terms: 40 + 6 + 16x = 6 + 3x Combine like terms: 40 + 6 = 46 46 + 16x = 6 + 3x Solving 46 + 16x = 6 + 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. 46 + 16x + -3x = 6 + 3x + -3x Combine like terms: 16x + -3x = 13x 46 + 13x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 46 + 13x = 6 + 0 46 + 13x = 6 Add '-46' to each side of the equation. 46 + -46 + 13x = 6 + -46 Combine like terms: 46 + -46 = 0 0 + 13x = 6 + -46 13x = 6 + -46 Combine like terms: 6 + -46 = -40 13x = -40 Divide each side by '13'. x = -3.076923077 Simplifying x = -3.076923077
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