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Simplifying 3(x + 7) + 8 = 7x + -4(x + -5) Reorder the terms: 3(7 + x) + 8 = 7x + -4(x + -5) (7 * 3 + x * 3) + 8 = 7x + -4(x + -5) (21 + 3x) + 8 = 7x + -4(x + -5) Reorder the terms: 21 + 8 + 3x = 7x + -4(x + -5) Combine like terms: 21 + 8 = 29 29 + 3x = 7x + -4(x + -5) Reorder the terms: 29 + 3x = 7x + -4(-5 + x) 29 + 3x = 7x + (-5 * -4 + x * -4) 29 + 3x = 7x + (20 + -4x) Reorder the terms: 29 + 3x = 20 + 7x + -4x Combine like terms: 7x + -4x = 3x 29 + 3x = 20 + 3x Add '-3x' to each side of the equation. 29 + 3x + -3x = 20 + 3x + -3x Combine like terms: 3x + -3x = 0 29 + 0 = 20 + 3x + -3x 29 = 20 + 3x + -3x Combine like terms: 3x + -3x = 0 29 = 20 + 0 29 = 20 Solving 29 = 20 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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