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