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Simplifying 2x + 8x + -6x + 4c + -3x + -3x = -3 + -4 + 7 + 2 + -7x Reorder the terms: 4c + 2x + 8x + -6x + -3x + -3x = -3 + -4 + 7 + 2 + -7x Combine like terms: 2x + 8x = 10x 4c + 10x + -6x + -3x + -3x = -3 + -4 + 7 + 2 + -7x Combine like terms: 10x + -6x = 4x 4c + 4x + -3x + -3x = -3 + -4 + 7 + 2 + -7x Combine like terms: 4x + -3x = 1x 4c + 1x + -3x = -3 + -4 + 7 + 2 + -7x Combine like terms: 1x + -3x = -2x 4c + -2x = -3 + -4 + 7 + 2 + -7x Combine like terms: -3 + -4 = -7 4c + -2x = -7 + 7 + 2 + -7x Combine like terms: -7 + 7 = 0 4c + -2x = 0 + 2 + -7x 4c + -2x = 2 + -7x Solving 4c + -2x = 2 + -7x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '2x' to each side of the equation. 4c + -2x + 2x = 2 + -7x + 2x Combine like terms: -2x + 2x = 0 4c + 0 = 2 + -7x + 2x 4c = 2 + -7x + 2x Combine like terms: -7x + 2x = -5x 4c = 2 + -5x Divide each side by '4'. c = 0.5 + -1.25x Simplifying c = 0.5 + -1.25x
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