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Simplifying 4c + -2(x + -3) = -2 + 5x + -10 Reorder the terms: 4c + -2(-3 + x) = -2 + 5x + -10 4c + (-3 * -2 + x * -2) = -2 + 5x + -10 4c + (6 + -2x) = -2 + 5x + -10 Reorder the terms: 6 + 4c + -2x = -2 + 5x + -10 Reorder the terms: 6 + 4c + -2x = -2 + -10 + 5x Combine like terms: -2 + -10 = -12 6 + 4c + -2x = -12 + 5x Solving 6 + 4c + -2x = -12 + 5x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 4c + -6 + -2x = -12 + -6 + 5x Reorder the terms: 6 + -6 + 4c + -2x = -12 + -6 + 5x Combine like terms: 6 + -6 = 0 0 + 4c + -2x = -12 + -6 + 5x 4c + -2x = -12 + -6 + 5x Combine like terms: -12 + -6 = -18 4c + -2x = -18 + 5x Add '2x' to each side of the equation. 4c + -2x + 2x = -18 + 5x + 2x Combine like terms: -2x + 2x = 0 4c + 0 = -18 + 5x + 2x 4c = -18 + 5x + 2x Combine like terms: 5x + 2x = 7x 4c = -18 + 7x Divide each side by '4'. c = -4.5 + 1.75x Simplifying c = -4.5 + 1.75x
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