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Simplifying 2x(c + -9) = 3c + -1(36 + -6x) Reorder the terms: 2x(-9 + c) = 3c + -1(36 + -6x) (-9 * 2x + c * 2x) = 3c + -1(36 + -6x) Reorder the terms: (2cx + -18x) = 3c + -1(36 + -6x) (2cx + -18x) = 3c + -1(36 + -6x) 2cx + -18x = 3c + (36 * -1 + -6x * -1) 2cx + -18x = 3c + (-36 + 6x) Reorder the terms: 2cx + -18x = -36 + 3c + 6x Solving 2cx + -18x = -36 + 3c + 6x 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. 2cx + -3c + -18x = -36 + 3c + -3c + 6x Reorder the terms: -3c + 2cx + -18x = -36 + 3c + -3c + 6x Combine like terms: 3c + -3c = 0 -3c + 2cx + -18x = -36 + 0 + 6x -3c + 2cx + -18x = -36 + 6x Add '18x' to each side of the equation. -3c + 2cx + -18x + 18x = -36 + 6x + 18x Combine like terms: -18x + 18x = 0 -3c + 2cx + 0 = -36 + 6x + 18x -3c + 2cx = -36 + 6x + 18x Combine like terms: 6x + 18x = 24x -3c + 2cx = -36 + 24x Reorder the terms: 36 + -3c + 2cx + -24x = -36 + 24x + 36 + -24x Reorder the terms: 36 + -3c + 2cx + -24x = -36 + 36 + 24x + -24x Combine like terms: -36 + 36 = 0 36 + -3c + 2cx + -24x = 0 + 24x + -24x 36 + -3c + 2cx + -24x = 24x + -24x Combine like terms: 24x + -24x = 0 36 + -3c + 2cx + -24x = 0 The solution to this equation could not be determined.
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