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Simplifying 7 + c = 0.5(4x + -2) Reorder the terms: 7 + c = 0.5(-2 + 4x) 7 + c = (-2 * 0.5 + 4x * 0.5) 7 + c = (-1 + 2x) Solving 7 + c = -1 + 2x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + c = -1 + -7 + 2x Combine like terms: 7 + -7 = 0 0 + c = -1 + -7 + 2x c = -1 + -7 + 2x Combine like terms: -1 + -7 = -8 c = -8 + 2x Simplifying c = -8 + 2x
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