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Simplifying 3(x + 4) + -6x = 8 + -3(x + 5) Reorder the terms: 3(4 + x) + -6x = 8 + -3(x + 5) (4 * 3 + x * 3) + -6x = 8 + -3(x + 5) (12 + 3x) + -6x = 8 + -3(x + 5) Combine like terms: 3x + -6x = -3x 12 + -3x = 8 + -3(x + 5) Reorder the terms: 12 + -3x = 8 + -3(5 + x) 12 + -3x = 8 + (5 * -3 + x * -3) 12 + -3x = 8 + (-15 + -3x) Combine like terms: 8 + -15 = -7 12 + -3x = -7 + -3x Add '3x' to each side of the equation. 12 + -3x + 3x = -7 + -3x + 3x Combine like terms: -3x + 3x = 0 12 + 0 = -7 + -3x + 3x 12 = -7 + -3x + 3x Combine like terms: -3x + 3x = 0 12 = -7 + 0 12 = -7 Solving 12 = -7 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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