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Simplifying 5(x + -3) + -3(x + 9) = 4x + -2(x + 7) Reorder the terms: 5(-3 + x) + -3(x + 9) = 4x + -2(x + 7) (-3 * 5 + x * 5) + -3(x + 9) = 4x + -2(x + 7) (-15 + 5x) + -3(x + 9) = 4x + -2(x + 7) Reorder the terms: -15 + 5x + -3(9 + x) = 4x + -2(x + 7) -15 + 5x + (9 * -3 + x * -3) = 4x + -2(x + 7) -15 + 5x + (-27 + -3x) = 4x + -2(x + 7) Reorder the terms: -15 + -27 + 5x + -3x = 4x + -2(x + 7) Combine like terms: -15 + -27 = -42 -42 + 5x + -3x = 4x + -2(x + 7) Combine like terms: 5x + -3x = 2x -42 + 2x = 4x + -2(x + 7) Reorder the terms: -42 + 2x = 4x + -2(7 + x) -42 + 2x = 4x + (7 * -2 + x * -2) -42 + 2x = 4x + (-14 + -2x) Reorder the terms: -42 + 2x = -14 + 4x + -2x Combine like terms: 4x + -2x = 2x -42 + 2x = -14 + 2x Add '-2x' to each side of the equation. -42 + 2x + -2x = -14 + 2x + -2x Combine like terms: 2x + -2x = 0 -42 + 0 = -14 + 2x + -2x -42 = -14 + 2x + -2x Combine like terms: 2x + -2x = 0 -42 = -14 + 0 -42 = -14 Solving -42 = -14 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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