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Simplifying 5(x + 3) = -6(8 + -2x) + -7x Reorder the terms: 5(3 + x) = -6(8 + -2x) + -7x (3 * 5 + x * 5) = -6(8 + -2x) + -7x (15 + 5x) = -6(8 + -2x) + -7x 15 + 5x = (8 * -6 + -2x * -6) + -7x 15 + 5x = (-48 + 12x) + -7x Combine like terms: 12x + -7x = 5x 15 + 5x = -48 + 5x Add '-5x' to each side of the equation. 15 + 5x + -5x = -48 + 5x + -5x Combine like terms: 5x + -5x = 0 15 + 0 = -48 + 5x + -5x 15 = -48 + 5x + -5x Combine like terms: 5x + -5x = 0 15 = -48 + 0 15 = -48 Solving 15 = -48 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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