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Simplifying 4(x + 8) + 3 = 7x + -3(x + -5) Reorder the terms: 4(8 + x) + 3 = 7x + -3(x + -5) (8 * 4 + x * 4) + 3 = 7x + -3(x + -5) (32 + 4x) + 3 = 7x + -3(x + -5) Reorder the terms: 32 + 3 + 4x = 7x + -3(x + -5) Combine like terms: 32 + 3 = 35 35 + 4x = 7x + -3(x + -5) Reorder the terms: 35 + 4x = 7x + -3(-5 + x) 35 + 4x = 7x + (-5 * -3 + x * -3) 35 + 4x = 7x + (15 + -3x) Reorder the terms: 35 + 4x = 15 + 7x + -3x Combine like terms: 7x + -3x = 4x 35 + 4x = 15 + 4x Add '-4x' to each side of the equation. 35 + 4x + -4x = 15 + 4x + -4x Combine like terms: 4x + -4x = 0 35 + 0 = 15 + 4x + -4x 35 = 15 + 4x + -4x Combine like terms: 4x + -4x = 0 35 = 15 + 0 35 = 15 Solving 35 = 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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