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Simplifying 3x + 12 = 5(x + -6) + -2x + 18 Reorder the terms: 12 + 3x = 5(x + -6) + -2x + 18 Reorder the terms: 12 + 3x = 5(-6 + x) + -2x + 18 12 + 3x = (-6 * 5 + x * 5) + -2x + 18 12 + 3x = (-30 + 5x) + -2x + 18 Reorder the terms: 12 + 3x = -30 + 18 + 5x + -2x Combine like terms: -30 + 18 = -12 12 + 3x = -12 + 5x + -2x Combine like terms: 5x + -2x = 3x 12 + 3x = -12 + 3x Add '-3x' to each side of the equation. 12 + 3x + -3x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 12 + 0 = -12 + 3x + -3x 12 = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 12 = -12 + 0 12 = -12 Solving 12 = -12 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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