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Simplifying 5(x + 6) + 2x = 4x + 3(4 + x) Reorder the terms: 5(6 + x) + 2x = 4x + 3(4 + x) (6 * 5 + x * 5) + 2x = 4x + 3(4 + x) (30 + 5x) + 2x = 4x + 3(4 + x) Combine like terms: 5x + 2x = 7x 30 + 7x = 4x + 3(4 + x) 30 + 7x = 4x + (4 * 3 + x * 3) 30 + 7x = 4x + (12 + 3x) Reorder the terms: 30 + 7x = 12 + 4x + 3x Combine like terms: 4x + 3x = 7x 30 + 7x = 12 + 7x Add '-7x' to each side of the equation. 30 + 7x + -7x = 12 + 7x + -7x Combine like terms: 7x + -7x = 0 30 + 0 = 12 + 7x + -7x 30 = 12 + 7x + -7x Combine like terms: 7x + -7x = 0 30 = 12 + 0 30 = 12 Solving 30 = 12 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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