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Simplifying 5(2x + 4) = 3(3x + -6) + x + -2 Reorder the terms: 5(4 + 2x) = 3(3x + -6) + x + -2 (4 * 5 + 2x * 5) = 3(3x + -6) + x + -2 (20 + 10x) = 3(3x + -6) + x + -2 Reorder the terms: 20 + 10x = 3(-6 + 3x) + x + -2 20 + 10x = (-6 * 3 + 3x * 3) + x + -2 20 + 10x = (-18 + 9x) + x + -2 Reorder the terms: 20 + 10x = -18 + -2 + 9x + x Combine like terms: -18 + -2 = -20 20 + 10x = -20 + 9x + x Combine like terms: 9x + x = 10x 20 + 10x = -20 + 10x Add '-10x' to each side of the equation. 20 + 10x + -10x = -20 + 10x + -10x Combine like terms: 10x + -10x = 0 20 + 0 = -20 + 10x + -10x 20 = -20 + 10x + -10x Combine like terms: 10x + -10x = 0 20 = -20 + 0 20 = -20 Solving 20 = -20 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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