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Simplifying 4(x + 8) + 2x = 6(x + 2) + -44 Reorder the terms: 4(8 + x) + 2x = 6(x + 2) + -44 (8 * 4 + x * 4) + 2x = 6(x + 2) + -44 (32 + 4x) + 2x = 6(x + 2) + -44 Combine like terms: 4x + 2x = 6x 32 + 6x = 6(x + 2) + -44 Reorder the terms: 32 + 6x = 6(2 + x) + -44 32 + 6x = (2 * 6 + x * 6) + -44 32 + 6x = (12 + 6x) + -44 Reorder the terms: 32 + 6x = 12 + -44 + 6x Combine like terms: 12 + -44 = -32 32 + 6x = -32 + 6x Add '-6x' to each side of the equation. 32 + 6x + -6x = -32 + 6x + -6x Combine like terms: 6x + -6x = 0 32 + 0 = -32 + 6x + -6x 32 = -32 + 6x + -6x Combine like terms: 6x + -6x = 0 32 = -32 + 0 32 = -32 Solving 32 = -32 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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