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Simplifying 5(2 + x) = 3(1 + x) + -2x + -4(2 + -1x) (2 * 5 + x * 5) = 3(1 + x) + -2x + -4(2 + -1x) (10 + 5x) = 3(1 + x) + -2x + -4(2 + -1x) 10 + 5x = (1 * 3 + x * 3) + -2x + -4(2 + -1x) 10 + 5x = (3 + 3x) + -2x + -4(2 + -1x) 10 + 5x = 3 + 3x + -2x + (2 * -4 + -1x * -4) 10 + 5x = 3 + 3x + -2x + (-8 + 4x) Reorder the terms: 10 + 5x = 3 + -8 + 3x + -2x + 4x Combine like terms: 3 + -8 = -5 10 + 5x = -5 + 3x + -2x + 4x Combine like terms: 3x + -2x = 1x 10 + 5x = -5 + 1x + 4x Combine like terms: 1x + 4x = 5x 10 + 5x = -5 + 5x Add '-5x' to each side of the equation. 10 + 5x + -5x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 10 + 0 = -5 + 5x + -5x 10 = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 10 = -5 + 0 10 = -5 Solving 10 = -5 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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