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Simplifying 6(5x + 5) + 2 = 5(6x + -6) + 3 Reorder the terms: 6(5 + 5x) + 2 = 5(6x + -6) + 3 (5 * 6 + 5x * 6) + 2 = 5(6x + -6) + 3 (30 + 30x) + 2 = 5(6x + -6) + 3 Reorder the terms: 30 + 2 + 30x = 5(6x + -6) + 3 Combine like terms: 30 + 2 = 32 32 + 30x = 5(6x + -6) + 3 Reorder the terms: 32 + 30x = 5(-6 + 6x) + 3 32 + 30x = (-6 * 5 + 6x * 5) + 3 32 + 30x = (-30 + 30x) + 3 Reorder the terms: 32 + 30x = -30 + 3 + 30x Combine like terms: -30 + 3 = -27 32 + 30x = -27 + 30x Add '-30x' to each side of the equation. 32 + 30x + -30x = -27 + 30x + -30x Combine like terms: 30x + -30x = 0 32 + 0 = -27 + 30x + -30x 32 = -27 + 30x + -30x Combine like terms: 30x + -30x = 0 32 = -27 + 0 32 = -27 Solving 32 = -27 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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