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Simplifying 3(x + -5) + 7 = 6x + -3(1 + x) Reorder the terms: 3(-5 + x) + 7 = 6x + -3(1 + x) (-5 * 3 + x * 3) + 7 = 6x + -3(1 + x) (-15 + 3x) + 7 = 6x + -3(1 + x) Reorder the terms: -15 + 7 + 3x = 6x + -3(1 + x) Combine like terms: -15 + 7 = -8 -8 + 3x = 6x + -3(1 + x) -8 + 3x = 6x + (1 * -3 + x * -3) -8 + 3x = 6x + (-3 + -3x) Reorder the terms: -8 + 3x = -3 + 6x + -3x Combine like terms: 6x + -3x = 3x -8 + 3x = -3 + 3x Add '-3x' to each side of the equation. -8 + 3x + -3x = -3 + 3x + -3x Combine like terms: 3x + -3x = 0 -8 + 0 = -3 + 3x + -3x -8 = -3 + 3x + -3x Combine like terms: 3x + -3x = 0 -8 = -3 + 0 -8 = -3 Solving -8 = -3 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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