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Simplifying 16x + 4 + -4c = 6(2x + 1) Reorder the terms: 4 + -4c + 16x = 6(2x + 1) Reorder the terms: 4 + -4c + 16x = 6(1 + 2x) 4 + -4c + 16x = (1 * 6 + 2x * 6) 4 + -4c + 16x = (6 + 12x) Solving 4 + -4c + 16x = 6 + 12x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4c + -4 + 16x = 6 + -4 + 12x Reorder the terms: 4 + -4 + -4c + 16x = 6 + -4 + 12x Combine like terms: 4 + -4 = 0 0 + -4c + 16x = 6 + -4 + 12x -4c + 16x = 6 + -4 + 12x Combine like terms: 6 + -4 = 2 -4c + 16x = 2 + 12x Add '-16x' to each side of the equation. -4c + 16x + -16x = 2 + 12x + -16x Combine like terms: 16x + -16x = 0 -4c + 0 = 2 + 12x + -16x -4c = 2 + 12x + -16x Combine like terms: 12x + -16x = -4x -4c = 2 + -4x Divide each side by '-4'. c = -0.5 + x Simplifying c = -0.5 + x
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