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Simplifying 2(x + 5) + 4(x + 2) = 6x + 10 Reorder the terms: 2(5 + x) + 4(x + 2) = 6x + 10 (5 * 2 + x * 2) + 4(x + 2) = 6x + 10 (10 + 2x) + 4(x + 2) = 6x + 10 Reorder the terms: 10 + 2x + 4(2 + x) = 6x + 10 10 + 2x + (2 * 4 + x * 4) = 6x + 10 10 + 2x + (8 + 4x) = 6x + 10 Reorder the terms: 10 + 8 + 2x + 4x = 6x + 10 Combine like terms: 10 + 8 = 18 18 + 2x + 4x = 6x + 10 Combine like terms: 2x + 4x = 6x 18 + 6x = 6x + 10 Reorder the terms: 18 + 6x = 10 + 6x Add '-6x' to each side of the equation. 18 + 6x + -6x = 10 + 6x + -6x Combine like terms: 6x + -6x = 0 18 + 0 = 10 + 6x + -6x 18 = 10 + 6x + -6x Combine like terms: 6x + -6x = 0 18 = 10 + 0 18 = 10 Solving 18 = 10 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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