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Simplifying 3x + -2(x + 4) + 3(1 + -1x) = 7 + -2x + 5(1) Reorder the terms: 3x + -2(4 + x) + 3(1 + -1x) = 7 + -2x + 5(1) 3x + (4 * -2 + x * -2) + 3(1 + -1x) = 7 + -2x + 5(1) 3x + (-8 + -2x) + 3(1 + -1x) = 7 + -2x + 5(1) 3x + -8 + -2x + (1 * 3 + -1x * 3) = 7 + -2x + 5(1) 3x + -8 + -2x + (3 + -3x) = 7 + -2x + 5(1) Reorder the terms: -8 + 3 + 3x + -2x + -3x = 7 + -2x + 5(1) Combine like terms: -8 + 3 = -5 -5 + 3x + -2x + -3x = 7 + -2x + 5(1) Combine like terms: 3x + -2x = 1x -5 + 1x + -3x = 7 + -2x + 5(1) Combine like terms: 1x + -3x = -2x -5 + -2x = 7 + -2x + 5(1) Multiply 5 * 1 -5 + -2x = 7 + -2x + 5 Reorder the terms: -5 + -2x = 7 + 5 + -2x Combine like terms: 7 + 5 = 12 -5 + -2x = 12 + -2x Add '2x' to each side of the equation. -5 + -2x + 2x = 12 + -2x + 2x Combine like terms: -2x + 2x = 0 -5 + 0 = 12 + -2x + 2x -5 = 12 + -2x + 2x Combine like terms: -2x + 2x = 0 -5 = 12 + 0 -5 = 12 Solving -5 = 12 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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