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Simplifying 5 + -4(c + 5) + -7 = 5 + 2(4 + -2x) + -16 Reorder the terms: 5 + -4(5 + c) + -7 = 5 + 2(4 + -2x) + -16 5 + (5 * -4 + c * -4) + -7 = 5 + 2(4 + -2x) + -16 5 + (-20 + -4c) + -7 = 5 + 2(4 + -2x) + -16 Reorder the terms: 5 + -20 + -7 + -4c = 5 + 2(4 + -2x) + -16 Combine like terms: 5 + -20 = -15 -15 + -7 + -4c = 5 + 2(4 + -2x) + -16 Combine like terms: -15 + -7 = -22 -22 + -4c = 5 + 2(4 + -2x) + -16 -22 + -4c = 5 + (4 * 2 + -2x * 2) + -16 -22 + -4c = 5 + (8 + -4x) + -16 Reorder the terms: -22 + -4c = 5 + 8 + -16 + -4x Combine like terms: 5 + 8 = 13 -22 + -4c = 13 + -16 + -4x Combine like terms: 13 + -16 = -3 -22 + -4c = -3 + -4x Solving -22 + -4c = -3 + -4x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + -4c = -3 + 22 + -4x Combine like terms: -22 + 22 = 0 0 + -4c = -3 + 22 + -4x -4c = -3 + 22 + -4x Combine like terms: -3 + 22 = 19 -4c = 19 + -4x Divide each side by '-4'. c = -4.75 + x Simplifying c = -4.75 + x
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