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Simplifying 7X + 2 + -4(2C + 1) = 3(C + -3) Reorder the terms: 7X + 2 + -4(1 + 2C) = 3(C + -3) 7X + 2 + (1 * -4 + 2C * -4) = 3(C + -3) 7X + 2 + (-4 + -8C) = 3(C + -3) Reorder the terms: 2 + -4 + -8C + 7X = 3(C + -3) Combine like terms: 2 + -4 = -2 -2 + -8C + 7X = 3(C + -3) Reorder the terms: -2 + -8C + 7X = 3(-3 + C) -2 + -8C + 7X = (-3 * 3 + C * 3) -2 + -8C + 7X = (-9 + 3C) Solving -2 + -8C + 7X = -9 + 3C Solving for variable 'C'. Move all terms containing C to the left, all other terms to the right. Add '-3C' to each side of the equation. -2 + -8C + -3C + 7X = -9 + 3C + -3C Combine like terms: -8C + -3C = -11C -2 + -11C + 7X = -9 + 3C + -3C Combine like terms: 3C + -3C = 0 -2 + -11C + 7X = -9 + 0 -2 + -11C + 7X = -9 Add '2' to each side of the equation. -2 + -11C + 2 + 7X = -9 + 2 Reorder the terms: -2 + 2 + -11C + 7X = -9 + 2 Combine like terms: -2 + 2 = 0 0 + -11C + 7X = -9 + 2 -11C + 7X = -9 + 2 Combine like terms: -9 + 2 = -7 -11C + 7X = -7 Add '-7X' to each side of the equation. -11C + 7X + -7X = -7 + -7X Combine like terms: 7X + -7X = 0 -11C + 0 = -7 + -7X -11C = -7 + -7X Divide each side by '-11'. C = 0.6363636364 + 0.6363636364X Simplifying C = 0.6363636364 + 0.6363636364X
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