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Simplifying 2x + -1(5c + -4) = 4(-1x + 1) Reorder the terms: 2x + -1(-4 + 5c) = 4(-1x + 1) 2x + (-4 * -1 + 5c * -1) = 4(-1x + 1) 2x + (4 + -5c) = 4(-1x + 1) Reorder the terms: 4 + -5c + 2x = 4(-1x + 1) Reorder the terms: 4 + -5c + 2x = 4(1 + -1x) 4 + -5c + 2x = (1 * 4 + -1x * 4) 4 + -5c + 2x = (4 + -4x) Add '-4' to each side of the equation. 4 + -5c + -4 + 2x = 4 + -4 + -4x Reorder the terms: 4 + -4 + -5c + 2x = 4 + -4 + -4x Combine like terms: 4 + -4 = 0 0 + -5c + 2x = 4 + -4 + -4x -5c + 2x = 4 + -4 + -4x Combine like terms: 4 + -4 = 0 -5c + 2x = 0 + -4x -5c + 2x = -4x Solving -5c + 2x = -4x 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. -5c + 2x + -2x = -4x + -2x Combine like terms: 2x + -2x = 0 -5c + 0 = -4x + -2x -5c = -4x + -2x Combine like terms: -4x + -2x = -6x -5c = -6x Divide each side by '-5'. c = 1.2x Simplifying c = 1.2x
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