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Simplifying 3x + 1 + -5c = 2c + x + -10 Reorder the terms: 1 + -5c + 3x = 2c + x + -10 Reorder the terms: 1 + -5c + 3x = -10 + 2c + x Solving 1 + -5c + 3x = -10 + 2c + x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2c' to each side of the equation. 1 + -5c + -2c + 3x = -10 + 2c + -2c + x Combine like terms: -5c + -2c = -7c 1 + -7c + 3x = -10 + 2c + -2c + x Combine like terms: 2c + -2c = 0 1 + -7c + 3x = -10 + 0 + x 1 + -7c + 3x = -10 + x Add '-1' to each side of the equation. 1 + -7c + -1 + 3x = -10 + -1 + x Reorder the terms: 1 + -1 + -7c + 3x = -10 + -1 + x Combine like terms: 1 + -1 = 0 0 + -7c + 3x = -10 + -1 + x -7c + 3x = -10 + -1 + x Combine like terms: -10 + -1 = -11 -7c + 3x = -11 + x Add '-3x' to each side of the equation. -7c + 3x + -3x = -11 + x + -3x Combine like terms: 3x + -3x = 0 -7c + 0 = -11 + x + -3x -7c = -11 + x + -3x Combine like terms: x + -3x = -2x -7c = -11 + -2x Divide each side by '-7'. c = 1.571428571 + 0.2857142857x Simplifying c = 1.571428571 + 0.2857142857x
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