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Simplifying 6(x + 5) = 5x + 2(c + 4) Reorder the terms: 6(5 + x) = 5x + 2(c + 4) (5 * 6 + x * 6) = 5x + 2(c + 4) (30 + 6x) = 5x + 2(c + 4) Reorder the terms: 30 + 6x = 5x + 2(4 + c) 30 + 6x = 5x + (4 * 2 + c * 2) 30 + 6x = 5x + (8 + 2c) Reorder the terms: 30 + 6x = 8 + 2c + 5x Solving 30 + 6x = 8 + 2c + 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 + 6x + -5x = 8 + 2c + 5x + -5x Combine like terms: 6x + -5x = 1x 30 + 1x = 8 + 2c + 5x + -5x Combine like terms: 5x + -5x = 0 30 + 1x = 8 + 2c + 0 30 + 1x = 8 + 2c Add '-30' to each side of the equation. 30 + -30 + 1x = 8 + -30 + 2c Combine like terms: 30 + -30 = 0 0 + 1x = 8 + -30 + 2c 1x = 8 + -30 + 2c Combine like terms: 8 + -30 = -22 1x = -22 + 2c Divide each side by '1'. x = -22 + 2c Simplifying x = -22 + 2c
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