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