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Simplifying 3(2x + -1) + -1(4c + 1) + -2(5x + -6) = 8 Reorder the terms: 3(-1 + 2x) + -1(4c + 1) + -2(5x + -6) = 8 (-1 * 3 + 2x * 3) + -1(4c + 1) + -2(5x + -6) = 8 (-3 + 6x) + -1(4c + 1) + -2(5x + -6) = 8 Reorder the terms: -3 + 6x + -1(1 + 4c) + -2(5x + -6) = 8 -3 + 6x + (1 * -1 + 4c * -1) + -2(5x + -6) = 8 -3 + 6x + (-1 + -4c) + -2(5x + -6) = 8 Reorder the terms: -3 + 6x + -1 + -4c + -2(-6 + 5x) = 8 -3 + 6x + -1 + -4c + (-6 * -2 + 5x * -2) = 8 -3 + 6x + -1 + -4c + (12 + -10x) = 8 Reorder the terms: -3 + -1 + 12 + -4c + 6x + -10x = 8 Combine like terms: -3 + -1 = -4 -4 + 12 + -4c + 6x + -10x = 8 Combine like terms: -4 + 12 = 8 8 + -4c + 6x + -10x = 8 Combine like terms: 6x + -10x = -4x 8 + -4c + -4x = 8 Add '-8' to each side of the equation. 8 + -4c + -8 + -4x = 8 + -8 Reorder the terms: 8 + -8 + -4c + -4x = 8 + -8 Combine like terms: 8 + -8 = 0 0 + -4c + -4x = 8 + -8 -4c + -4x = 8 + -8 Combine like terms: 8 + -8 = 0 -4c + -4x = 0 Solving -4c + -4x = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '4x' to each side of the equation. -4c + -4x + 4x = 0 + 4x Combine like terms: -4x + 4x = 0 -4c + 0 = 0 + 4x -4c = 0 + 4x Remove the zero: -4c = 4x Divide each side by '-4'. c = -1x Simplifying c = -1x
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