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Simplifying 6 + 2(x + 3) = -3x + 5(x + 1) Reorder the terms: 6 + 2(3 + x) = -3x + 5(x + 1) 6 + (3 * 2 + x * 2) = -3x + 5(x + 1) 6 + (6 + 2x) = -3x + 5(x + 1) Combine like terms: 6 + 6 = 12 12 + 2x = -3x + 5(x + 1) Reorder the terms: 12 + 2x = -3x + 5(1 + x) 12 + 2x = -3x + (1 * 5 + x * 5) 12 + 2x = -3x + (5 + 5x) Reorder the terms: 12 + 2x = 5 + -3x + 5x Combine like terms: -3x + 5x = 2x 12 + 2x = 5 + 2x Add '-2x' to each side of the equation. 12 + 2x + -2x = 5 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + 0 = 5 + 2x + -2x 12 = 5 + 2x + -2x Combine like terms: 2x + -2x = 0 12 = 5 + 0 12 = 5 Solving 12 = 5 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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