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Simplifying 5(x + 3) + 12 = 8x + -3(x + 7) Reorder the terms: 5(3 + x) + 12 = 8x + -3(x + 7) (3 * 5 + x * 5) + 12 = 8x + -3(x + 7) (15 + 5x) + 12 = 8x + -3(x + 7) Reorder the terms: 15 + 12 + 5x = 8x + -3(x + 7) Combine like terms: 15 + 12 = 27 27 + 5x = 8x + -3(x + 7) Reorder the terms: 27 + 5x = 8x + -3(7 + x) 27 + 5x = 8x + (7 * -3 + x * -3) 27 + 5x = 8x + (-21 + -3x) Reorder the terms: 27 + 5x = -21 + 8x + -3x Combine like terms: 8x + -3x = 5x 27 + 5x = -21 + 5x Add '-5x' to each side of the equation. 27 + 5x + -5x = -21 + 5x + -5x Combine like terms: 5x + -5x = 0 27 + 0 = -21 + 5x + -5x 27 = -21 + 5x + -5x Combine like terms: 5x + -5x = 0 27 = -21 + 0 27 = -21 Solving 27 = -21 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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