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Simplifying 5(x + 3) + 4(x + 2) = 6(x + 2) + 3(x + -2) Reorder the terms: 5(3 + x) + 4(x + 2) = 6(x + 2) + 3(x + -2) (3 * 5 + x * 5) + 4(x + 2) = 6(x + 2) + 3(x + -2) (15 + 5x) + 4(x + 2) = 6(x + 2) + 3(x + -2) Reorder the terms: 15 + 5x + 4(2 + x) = 6(x + 2) + 3(x + -2) 15 + 5x + (2 * 4 + x * 4) = 6(x + 2) + 3(x + -2) 15 + 5x + (8 + 4x) = 6(x + 2) + 3(x + -2) Reorder the terms: 15 + 8 + 5x + 4x = 6(x + 2) + 3(x + -2) Combine like terms: 15 + 8 = 23 23 + 5x + 4x = 6(x + 2) + 3(x + -2) Combine like terms: 5x + 4x = 9x 23 + 9x = 6(x + 2) + 3(x + -2) Reorder the terms: 23 + 9x = 6(2 + x) + 3(x + -2) 23 + 9x = (2 * 6 + x * 6) + 3(x + -2) 23 + 9x = (12 + 6x) + 3(x + -2) Reorder the terms: 23 + 9x = 12 + 6x + 3(-2 + x) 23 + 9x = 12 + 6x + (-2 * 3 + x * 3) 23 + 9x = 12 + 6x + (-6 + 3x) Reorder the terms: 23 + 9x = 12 + -6 + 6x + 3x Combine like terms: 12 + -6 = 6 23 + 9x = 6 + 6x + 3x Combine like terms: 6x + 3x = 9x 23 + 9x = 6 + 9x Add '-9x' to each side of the equation. 23 + 9x + -9x = 6 + 9x + -9x Combine like terms: 9x + -9x = 0 23 + 0 = 6 + 9x + -9x 23 = 6 + 9x + -9x Combine like terms: 9x + -9x = 0 23 = 6 + 0 23 = 6 Solving 23 = 6 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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