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Simplifying 7(x + 3) + 8 = 4x + 3(-5 + x) Reorder the terms: 7(3 + x) + 8 = 4x + 3(-5 + x) (3 * 7 + x * 7) + 8 = 4x + 3(-5 + x) (21 + 7x) + 8 = 4x + 3(-5 + x) Reorder the terms: 21 + 8 + 7x = 4x + 3(-5 + x) Combine like terms: 21 + 8 = 29 29 + 7x = 4x + 3(-5 + x) 29 + 7x = 4x + (-5 * 3 + x * 3) 29 + 7x = 4x + (-15 + 3x) Reorder the terms: 29 + 7x = -15 + 4x + 3x Combine like terms: 4x + 3x = 7x 29 + 7x = -15 + 7x Add '-7x' to each side of the equation. 29 + 7x + -7x = -15 + 7x + -7x Combine like terms: 7x + -7x = 0 29 + 0 = -15 + 7x + -7x 29 = -15 + 7x + -7x Combine like terms: 7x + -7x = 0 29 = -15 + 0 29 = -15 Solving 29 = -15 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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