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