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Simplifying 4(x + 7) + 8 = 7x + -3(x + -5) Reorder the terms: 4(7 + x) + 8 = 7x + -3(x + -5) (7 * 4 + x * 4) + 8 = 7x + -3(x + -5) (28 + 4x) + 8 = 7x + -3(x + -5) Reorder the terms: 28 + 8 + 4x = 7x + -3(x + -5) Combine like terms: 28 + 8 = 36 36 + 4x = 7x + -3(x + -5) Reorder the terms: 36 + 4x = 7x + -3(-5 + x) 36 + 4x = 7x + (-5 * -3 + x * -3) 36 + 4x = 7x + (15 + -3x) Reorder the terms: 36 + 4x = 15 + 7x + -3x Combine like terms: 7x + -3x = 4x 36 + 4x = 15 + 4x Add '-4x' to each side of the equation. 36 + 4x + -4x = 15 + 4x + -4x Combine like terms: 4x + -4x = 0 36 + 0 = 15 + 4x + -4x 36 = 15 + 4x + -4x Combine like terms: 4x + -4x = 0 36 = 15 + 0 36 = 15 Solving 36 = 15 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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