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Simplifying 7(x + 3) + 6 = 3x + 4(-5 + x) Reorder the terms: 7(3 + x) + 6 = 3x + 4(-5 + x) (3 * 7 + x * 7) + 6 = 3x + 4(-5 + x) (21 + 7x) + 6 = 3x + 4(-5 + x) Reorder the terms: 21 + 6 + 7x = 3x + 4(-5 + x) Combine like terms: 21 + 6 = 27 27 + 7x = 3x + 4(-5 + x) 27 + 7x = 3x + (-5 * 4 + x * 4) 27 + 7x = 3x + (-20 + 4x) Reorder the terms: 27 + 7x = -20 + 3x + 4x Combine like terms: 3x + 4x = 7x 27 + 7x = -20 + 7x Add '-7x' to each side of the equation. 27 + 7x + -7x = -20 + 7x + -7x Combine like terms: 7x + -7x = 0 27 + 0 = -20 + 7x + -7x 27 = -20 + 7x + -7x Combine like terms: 7x + -7x = 0 27 = -20 + 0 27 = -20 Solving 27 = -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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