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Simplifying 4(x + 2) = 5(9 + 2x) + -6x Reorder the terms: 4(2 + x) = 5(9 + 2x) + -6x (2 * 4 + x * 4) = 5(9 + 2x) + -6x (8 + 4x) = 5(9 + 2x) + -6x 8 + 4x = (9 * 5 + 2x * 5) + -6x 8 + 4x = (45 + 10x) + -6x Combine like terms: 10x + -6x = 4x 8 + 4x = 45 + 4x Add '-4x' to each side of the equation. 8 + 4x + -4x = 45 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + 0 = 45 + 4x + -4x 8 = 45 + 4x + -4x Combine like terms: 4x + -4x = 0 8 = 45 + 0 8 = 45 Solving 8 = 45 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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