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Simplifying 5c(x + -2) + x = 6(x + 3) + -4x Reorder the terms: 5c(-2 + x) + x = 6(x + 3) + -4x (-2 * 5c + x * 5c) + x = 6(x + 3) + -4x (-10c + 5cx) + x = 6(x + 3) + -4x Reorder the terms: -10c + 5cx + x = 6(3 + x) + -4x -10c + 5cx + x = (3 * 6 + x * 6) + -4x -10c + 5cx + x = (18 + 6x) + -4x Combine like terms: 6x + -4x = 2x -10c + 5cx + x = 18 + 2x Solving -10c + 5cx + x = 18 + 2x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1x' to each side of the equation. -10c + 5cx + x + -1x = 18 + 2x + -1x Combine like terms: x + -1x = 0 -10c + 5cx + 0 = 18 + 2x + -1x -10c + 5cx = 18 + 2x + -1x Combine like terms: 2x + -1x = 1x -10c + 5cx = 18 + 1x Reorder the terms: -18 + -10c + 5cx + -1x = 18 + 1x + -18 + -1x Reorder the terms: -18 + -10c + 5cx + -1x = 18 + -18 + 1x + -1x Combine like terms: 18 + -18 = 0 -18 + -10c + 5cx + -1x = 0 + 1x + -1x -18 + -10c + 5cx + -1x = 1x + -1x Combine like terms: 1x + -1x = 0 -18 + -10c + 5cx + -1x = 0 The solution to this equation could not be determined.
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