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Simplifying -5(x + 3) + 7(x + 2) = 4(x + -3) + -2(x + 5) Reorder the terms: -5(3 + x) + 7(x + 2) = 4(x + -3) + -2(x + 5) (3 * -5 + x * -5) + 7(x + 2) = 4(x + -3) + -2(x + 5) (-15 + -5x) + 7(x + 2) = 4(x + -3) + -2(x + 5) Reorder the terms: -15 + -5x + 7(2 + x) = 4(x + -3) + -2(x + 5) -15 + -5x + (2 * 7 + x * 7) = 4(x + -3) + -2(x + 5) -15 + -5x + (14 + 7x) = 4(x + -3) + -2(x + 5) Reorder the terms: -15 + 14 + -5x + 7x = 4(x + -3) + -2(x + 5) Combine like terms: -15 + 14 = -1 -1 + -5x + 7x = 4(x + -3) + -2(x + 5) Combine like terms: -5x + 7x = 2x -1 + 2x = 4(x + -3) + -2(x + 5) Reorder the terms: -1 + 2x = 4(-3 + x) + -2(x + 5) -1 + 2x = (-3 * 4 + x * 4) + -2(x + 5) -1 + 2x = (-12 + 4x) + -2(x + 5) Reorder the terms: -1 + 2x = -12 + 4x + -2(5 + x) -1 + 2x = -12 + 4x + (5 * -2 + x * -2) -1 + 2x = -12 + 4x + (-10 + -2x) Reorder the terms: -1 + 2x = -12 + -10 + 4x + -2x Combine like terms: -12 + -10 = -22 -1 + 2x = -22 + 4x + -2x Combine like terms: 4x + -2x = 2x -1 + 2x = -22 + 2x Add '-2x' to each side of the equation. -1 + 2x + -2x = -22 + 2x + -2x Combine like terms: 2x + -2x = 0 -1 + 0 = -22 + 2x + -2x -1 = -22 + 2x + -2x Combine like terms: 2x + -2x = 0 -1 = -22 + 0 -1 = -22 Solving -1 = -22 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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