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Simplifying 3(x + 9) + 8 = -4x + 7(x + -4) Reorder the terms: 3(9 + x) + 8 = -4x + 7(x + -4) (9 * 3 + x * 3) + 8 = -4x + 7(x + -4) (27 + 3x) + 8 = -4x + 7(x + -4) Reorder the terms: 27 + 8 + 3x = -4x + 7(x + -4) Combine like terms: 27 + 8 = 35 35 + 3x = -4x + 7(x + -4) Reorder the terms: 35 + 3x = -4x + 7(-4 + x) 35 + 3x = -4x + (-4 * 7 + x * 7) 35 + 3x = -4x + (-28 + 7x) Reorder the terms: 35 + 3x = -28 + -4x + 7x Combine like terms: -4x + 7x = 3x 35 + 3x = -28 + 3x Add '-3x' to each side of the equation. 35 + 3x + -3x = -28 + 3x + -3x Combine like terms: 3x + -3x = 0 35 + 0 = -28 + 3x + -3x 35 = -28 + 3x + -3x Combine like terms: 3x + -3x = 0 35 = -28 + 0 35 = -28 Solving 35 = -28 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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