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Simplifying 2(x + 5) = 4x + -2(x + 5 + 1) Reorder the terms: 2(5 + x) = 4x + -2(x + 5 + 1) (5 * 2 + x * 2) = 4x + -2(x + 5 + 1) (10 + 2x) = 4x + -2(x + 5 + 1) Reorder the terms: 10 + 2x = 4x + -2(5 + 1 + x) Combine like terms: 5 + 1 = 6 10 + 2x = 4x + -2(6 + x) 10 + 2x = 4x + (6 * -2 + x * -2) 10 + 2x = 4x + (-12 + -2x) Reorder the terms: 10 + 2x = -12 + 4x + -2x Combine like terms: 4x + -2x = 2x 10 + 2x = -12 + 2x Add '-2x' to each side of the equation. 10 + 2x + -2x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 10 + 0 = -12 + 2x + -2x 10 = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 10 = -12 + 0 10 = -12 Solving 10 = -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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