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Simplifying 3x + 9 = 5(x + 1) + -2(x + 3) Reorder the terms: 9 + 3x = 5(x + 1) + -2(x + 3) Reorder the terms: 9 + 3x = 5(1 + x) + -2(x + 3) 9 + 3x = (1 * 5 + x * 5) + -2(x + 3) 9 + 3x = (5 + 5x) + -2(x + 3) Reorder the terms: 9 + 3x = 5 + 5x + -2(3 + x) 9 + 3x = 5 + 5x + (3 * -2 + x * -2) 9 + 3x = 5 + 5x + (-6 + -2x) Reorder the terms: 9 + 3x = 5 + -6 + 5x + -2x Combine like terms: 5 + -6 = -1 9 + 3x = -1 + 5x + -2x Combine like terms: 5x + -2x = 3x 9 + 3x = -1 + 3x Add '-3x' to each side of the equation. 9 + 3x + -3x = -1 + 3x + -3x Combine like terms: 3x + -3x = 0 9 + 0 = -1 + 3x + -3x 9 = -1 + 3x + -3x Combine like terms: 3x + -3x = 0 9 = -1 + 0 9 = -1 Solving 9 = -1 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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