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Simplifying 3(x + 4) + 7 = 8x + -5(x + -6) Reorder the terms: 3(4 + x) + 7 = 8x + -5(x + -6) (4 * 3 + x * 3) + 7 = 8x + -5(x + -6) (12 + 3x) + 7 = 8x + -5(x + -6) Reorder the terms: 12 + 7 + 3x = 8x + -5(x + -6) Combine like terms: 12 + 7 = 19 19 + 3x = 8x + -5(x + -6) Reorder the terms: 19 + 3x = 8x + -5(-6 + x) 19 + 3x = 8x + (-6 * -5 + x * -5) 19 + 3x = 8x + (30 + -5x) Reorder the terms: 19 + 3x = 30 + 8x + -5x Combine like terms: 8x + -5x = 3x 19 + 3x = 30 + 3x Add '-3x' to each side of the equation. 19 + 3x + -3x = 30 + 3x + -3x Combine like terms: 3x + -3x = 0 19 + 0 = 30 + 3x + -3x 19 = 30 + 3x + -3x Combine like terms: 3x + -3x = 0 19 = 30 + 0 19 = 30 Solving 19 = 30 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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