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Simplifying 4x + 7 + -2x + 5 = 3x + -9 + -1(x + 3) Reorder the terms: 7 + 5 + 4x + -2x = 3x + -9 + -1(x + 3) Combine like terms: 7 + 5 = 12 12 + 4x + -2x = 3x + -9 + -1(x + 3) Combine like terms: 4x + -2x = 2x 12 + 2x = 3x + -9 + -1(x + 3) Reorder the terms: 12 + 2x = 3x + -9 + -1(3 + x) 12 + 2x = 3x + -9 + (3 * -1 + x * -1) 12 + 2x = 3x + -9 + (-3 + -1x) Reorder the terms: 12 + 2x = -9 + -3 + 3x + -1x Combine like terms: -9 + -3 = -12 12 + 2x = -12 + 3x + -1x Combine like terms: 3x + -1x = 2x 12 + 2x = -12 + 2x Add '-2x' to each side of the equation. 12 + 2x + -2x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + 0 = -12 + 2x + -2x 12 = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 12 = -12 + 0 12 = -12 Solving 12 = -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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