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Simplifying 5(x + -2) + -2(x + 1) = 3x + -4 Reorder the terms: 5(-2 + x) + -2(x + 1) = 3x + -4 (-2 * 5 + x * 5) + -2(x + 1) = 3x + -4 (-10 + 5x) + -2(x + 1) = 3x + -4 Reorder the terms: -10 + 5x + -2(1 + x) = 3x + -4 -10 + 5x + (1 * -2 + x * -2) = 3x + -4 -10 + 5x + (-2 + -2x) = 3x + -4 Reorder the terms: -10 + -2 + 5x + -2x = 3x + -4 Combine like terms: -10 + -2 = -12 -12 + 5x + -2x = 3x + -4 Combine like terms: 5x + -2x = 3x -12 + 3x = 3x + -4 Reorder the terms: -12 + 3x = -4 + 3x Add '-3x' to each side of the equation. -12 + 3x + -3x = -4 + 3x + -3x Combine like terms: 3x + -3x = 0 -12 + 0 = -4 + 3x + -3x -12 = -4 + 3x + -3x Combine like terms: 3x + -3x = 0 -12 = -4 + 0 -12 = -4 Solving -12 = -4 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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