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Simplifying 3(2c + 14) + x = 15 + -1(-9x + -5) Reorder the terms: 3(14 + 2c) + x = 15 + -1(-9x + -5) (14 * 3 + 2c * 3) + x = 15 + -1(-9x + -5) (42 + 6c) + x = 15 + -1(-9x + -5) Reorder the terms: 42 + 6c + x = 15 + -1(-5 + -9x) 42 + 6c + x = 15 + (-5 * -1 + -9x * -1) 42 + 6c + x = 15 + (5 + 9x) Combine like terms: 15 + 5 = 20 42 + 6c + x = 20 + 9x Solving 42 + 6c + x = 20 + 9x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + 6c + -42 + x = 20 + -42 + 9x Reorder the terms: 42 + -42 + 6c + x = 20 + -42 + 9x Combine like terms: 42 + -42 = 0 0 + 6c + x = 20 + -42 + 9x 6c + x = 20 + -42 + 9x Combine like terms: 20 + -42 = -22 6c + x = -22 + 9x Add '-1x' to each side of the equation. 6c + x + -1x = -22 + 9x + -1x Combine like terms: x + -1x = 0 6c + 0 = -22 + 9x + -1x 6c = -22 + 9x + -1x Combine like terms: 9x + -1x = 8x 6c = -22 + 8x Divide each side by '6'. c = -3.666666667 + 1.333333333x Simplifying c = -3.666666667 + 1.333333333x
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