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Simplifying 46 + -1(3x + 4) = 2(c + 6) + c Reorder the terms: 46 + -1(4 + 3x) = 2(c + 6) + c 46 + (4 * -1 + 3x * -1) = 2(c + 6) + c 46 + (-4 + -3x) = 2(c + 6) + c Combine like terms: 46 + -4 = 42 42 + -3x = 2(c + 6) + c Reorder the terms: 42 + -3x = 2(6 + c) + c 42 + -3x = (6 * 2 + c * 2) + c 42 + -3x = (12 + 2c) + c Combine like terms: 2c + c = 3c 42 + -3x = 12 + 3c Solving 42 + -3x = 12 + 3c Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + -3x = 12 + -42 + 3c Combine like terms: 42 + -42 = 0 0 + -3x = 12 + -42 + 3c -3x = 12 + -42 + 3c Combine like terms: 12 + -42 = -30 -3x = -30 + 3c Divide each side by '-3'. x = 10 + -1c Simplifying x = 10 + -1c
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