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Simplifying 6(2x + 5) = 8x + 15 + -3x Reorder the terms: 6(5 + 2x) = 8x + 15 + -3x (5 * 6 + 2x * 6) = 8x + 15 + -3x (30 + 12x) = 8x + 15 + -3x Reorder the terms: 30 + 12x = 15 + 8x + -3x Combine like terms: 8x + -3x = 5x 30 + 12x = 15 + 5x Solving 30 + 12x = 15 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 30 + 12x + -5x = 15 + 5x + -5x Combine like terms: 12x + -5x = 7x 30 + 7x = 15 + 5x + -5x Combine like terms: 5x + -5x = 0 30 + 7x = 15 + 0 30 + 7x = 15 Add '-30' to each side of the equation. 30 + -30 + 7x = 15 + -30 Combine like terms: 30 + -30 = 0 0 + 7x = 15 + -30 7x = 15 + -30 Combine like terms: 15 + -30 = -15 7x = -15 Divide each side by '7'. x = -2.142857143 Simplifying x = -2.142857143
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