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Simplifying 7(x + -3) + -17 = 9x + -2(x + -8) Reorder the terms: 7(-3 + x) + -17 = 9x + -2(x + -8) (-3 * 7 + x * 7) + -17 = 9x + -2(x + -8) (-21 + 7x) + -17 = 9x + -2(x + -8) Reorder the terms: -21 + -17 + 7x = 9x + -2(x + -8) Combine like terms: -21 + -17 = -38 -38 + 7x = 9x + -2(x + -8) Reorder the terms: -38 + 7x = 9x + -2(-8 + x) -38 + 7x = 9x + (-8 * -2 + x * -2) -38 + 7x = 9x + (16 + -2x) Reorder the terms: -38 + 7x = 16 + 9x + -2x Combine like terms: 9x + -2x = 7x -38 + 7x = 16 + 7x Add '-7x' to each side of the equation. -38 + 7x + -7x = 16 + 7x + -7x Combine like terms: 7x + -7x = 0 -38 + 0 = 16 + 7x + -7x -38 = 16 + 7x + -7x Combine like terms: 7x + -7x = 0 -38 = 16 + 0 -38 = 16 Solving -38 = 16 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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