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Simplifying 2x + 5 + -3(2c + -7) = 2(3x + -5) + -4 Reorder the terms: 2x + 5 + -3(-7 + 2c) = 2(3x + -5) + -4 2x + 5 + (-7 * -3 + 2c * -3) = 2(3x + -5) + -4 2x + 5 + (21 + -6c) = 2(3x + -5) + -4 Reorder the terms: 5 + 21 + -6c + 2x = 2(3x + -5) + -4 Combine like terms: 5 + 21 = 26 26 + -6c + 2x = 2(3x + -5) + -4 Reorder the terms: 26 + -6c + 2x = 2(-5 + 3x) + -4 26 + -6c + 2x = (-5 * 2 + 3x * 2) + -4 26 + -6c + 2x = (-10 + 6x) + -4 Reorder the terms: 26 + -6c + 2x = -10 + -4 + 6x Combine like terms: -10 + -4 = -14 26 + -6c + 2x = -14 + 6x Solving 26 + -6c + 2x = -14 + 6x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -6c + -26 + 2x = -14 + -26 + 6x Reorder the terms: 26 + -26 + -6c + 2x = -14 + -26 + 6x Combine like terms: 26 + -26 = 0 0 + -6c + 2x = -14 + -26 + 6x -6c + 2x = -14 + -26 + 6x Combine like terms: -14 + -26 = -40 -6c + 2x = -40 + 6x Add '-2x' to each side of the equation. -6c + 2x + -2x = -40 + 6x + -2x Combine like terms: 2x + -2x = 0 -6c + 0 = -40 + 6x + -2x -6c = -40 + 6x + -2x Combine like terms: 6x + -2x = 4x -6c = -40 + 4x Divide each side by '-6'. c = 6.666666667 + -0.6666666667x Simplifying c = 6.666666667 + -0.6666666667x
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