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Simplifying 2(x + 4) + 3 = 5x + -3(-5 + x) Reorder the terms: 2(4 + x) + 3 = 5x + -3(-5 + x) (4 * 2 + x * 2) + 3 = 5x + -3(-5 + x) (8 + 2x) + 3 = 5x + -3(-5 + x) Reorder the terms: 8 + 3 + 2x = 5x + -3(-5 + x) Combine like terms: 8 + 3 = 11 11 + 2x = 5x + -3(-5 + x) 11 + 2x = 5x + (-5 * -3 + x * -3) 11 + 2x = 5x + (15 + -3x) Reorder the terms: 11 + 2x = 15 + 5x + -3x Combine like terms: 5x + -3x = 2x 11 + 2x = 15 + 2x Add '-2x' to each side of the equation. 11 + 2x + -2x = 15 + 2x + -2x Combine like terms: 2x + -2x = 0 11 + 0 = 15 + 2x + -2x 11 = 15 + 2x + -2x Combine like terms: 2x + -2x = 0 11 = 15 + 0 11 = 15 Solving 11 = 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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