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Simplifying 5(x + -2) = 4(x + -3) + (x + -3) Reorder the terms: 5(-2 + x) = 4(x + -3) + (x + -3) (-2 * 5 + x * 5) = 4(x + -3) + (x + -3) (-10 + 5x) = 4(x + -3) + (x + -3) Reorder the terms: -10 + 5x = 4(-3 + x) + (x + -3) -10 + 5x = (-3 * 4 + x * 4) + (x + -3) -10 + 5x = (-12 + 4x) + (x + -3) Reorder the terms: -10 + 5x = -12 + 4x + (-3 + x) Remove parenthesis around (-3 + x) -10 + 5x = -12 + 4x + -3 + x Reorder the terms: -10 + 5x = -12 + -3 + 4x + x Combine like terms: -12 + -3 = -15 -10 + 5x = -15 + 4x + x Combine like terms: 4x + x = 5x -10 + 5x = -15 + 5x Add '-5x' to each side of the equation. -10 + 5x + -5x = -15 + 5x + -5x Combine like terms: 5x + -5x = 0 -10 + 0 = -15 + 5x + -5x -10 = -15 + 5x + -5x Combine like terms: 5x + -5x = 0 -10 = -15 + 0 -10 = -15 Solving -10 = -15 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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