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Simplifying 5(c + -7) + -2(3x + -4) = 3x Reorder the terms: 5(-7 + c) + -2(3x + -4) = 3x (-7 * 5 + c * 5) + -2(3x + -4) = 3x (-35 + 5c) + -2(3x + -4) = 3x Reorder the terms: -35 + 5c + -2(-4 + 3x) = 3x -35 + 5c + (-4 * -2 + 3x * -2) = 3x -35 + 5c + (8 + -6x) = 3x Reorder the terms: -35 + 8 + 5c + -6x = 3x Combine like terms: -35 + 8 = -27 -27 + 5c + -6x = 3x Solving -27 + 5c + -6x = 3x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 5c + 27 + -6x = 27 + 3x Reorder the terms: -27 + 27 + 5c + -6x = 27 + 3x Combine like terms: -27 + 27 = 0 0 + 5c + -6x = 27 + 3x 5c + -6x = 27 + 3x Add '6x' to each side of the equation. 5c + -6x + 6x = 27 + 3x + 6x Combine like terms: -6x + 6x = 0 5c + 0 = 27 + 3x + 6x 5c = 27 + 3x + 6x Combine like terms: 3x + 6x = 9x 5c = 27 + 9x Divide each side by '5'. c = 5.4 + 1.8x Simplifying c = 5.4 + 1.8x
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