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Simplifying 3(x + 4) + -2 = 5x + -2(-3 + x) Reorder the terms: 3(4 + x) + -2 = 5x + -2(-3 + x) (4 * 3 + x * 3) + -2 = 5x + -2(-3 + x) (12 + 3x) + -2 = 5x + -2(-3 + x) Reorder the terms: 12 + -2 + 3x = 5x + -2(-3 + x) Combine like terms: 12 + -2 = 10 10 + 3x = 5x + -2(-3 + x) 10 + 3x = 5x + (-3 * -2 + x * -2) 10 + 3x = 5x + (6 + -2x) Reorder the terms: 10 + 3x = 6 + 5x + -2x Combine like terms: 5x + -2x = 3x 10 + 3x = 6 + 3x Add '-3x' to each side of the equation. 10 + 3x + -3x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 10 + 0 = 6 + 3x + -3x 10 = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 10 = 6 + 0 10 = 6 Solving 10 = 6 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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