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Simplifying 5(x + 4) + 7 = 7x + -2(x + -4) Reorder the terms: 5(4 + x) + 7 = 7x + -2(x + -4) (4 * 5 + x * 5) + 7 = 7x + -2(x + -4) (20 + 5x) + 7 = 7x + -2(x + -4) Reorder the terms: 20 + 7 + 5x = 7x + -2(x + -4) Combine like terms: 20 + 7 = 27 27 + 5x = 7x + -2(x + -4) Reorder the terms: 27 + 5x = 7x + -2(-4 + x) 27 + 5x = 7x + (-4 * -2 + x * -2) 27 + 5x = 7x + (8 + -2x) Reorder the terms: 27 + 5x = 8 + 7x + -2x Combine like terms: 7x + -2x = 5x 27 + 5x = 8 + 5x Add '-5x' to each side of the equation. 27 + 5x + -5x = 8 + 5x + -5x Combine like terms: 5x + -5x = 0 27 + 0 = 8 + 5x + -5x 27 = 8 + 5x + -5x Combine like terms: 5x + -5x = 0 27 = 8 + 0 27 = 8 Solving 27 = 8 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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