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Simplifying 6(x + 10) + 12 = 6(x + 8) + 84 Reorder the terms: 6(10 + x) + 12 = 6(x + 8) + 84 (10 * 6 + x * 6) + 12 = 6(x + 8) + 84 (60 + 6x) + 12 = 6(x + 8) + 84 Reorder the terms: 60 + 12 + 6x = 6(x + 8) + 84 Combine like terms: 60 + 12 = 72 72 + 6x = 6(x + 8) + 84 Reorder the terms: 72 + 6x = 6(8 + x) + 84 72 + 6x = (8 * 6 + x * 6) + 84 72 + 6x = (48 + 6x) + 84 Reorder the terms: 72 + 6x = 48 + 84 + 6x Combine like terms: 48 + 84 = 132 72 + 6x = 132 + 6x Add '-6x' to each side of the equation. 72 + 6x + -6x = 132 + 6x + -6x Combine like terms: 6x + -6x = 0 72 + 0 = 132 + 6x + -6x 72 = 132 + 6x + -6x Combine like terms: 6x + -6x = 0 72 = 132 + 0 72 = 132 Solving 72 = 132 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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