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Simplifying 5(x + 5) + 10 = 8x + -3(x + -4) Reorder the terms: 5(5 + x) + 10 = 8x + -3(x + -4) (5 * 5 + x * 5) + 10 = 8x + -3(x + -4) (25 + 5x) + 10 = 8x + -3(x + -4) Reorder the terms: 25 + 10 + 5x = 8x + -3(x + -4) Combine like terms: 25 + 10 = 35 35 + 5x = 8x + -3(x + -4) Reorder the terms: 35 + 5x = 8x + -3(-4 + x) 35 + 5x = 8x + (-4 * -3 + x * -3) 35 + 5x = 8x + (12 + -3x) Reorder the terms: 35 + 5x = 12 + 8x + -3x Combine like terms: 8x + -3x = 5x 35 + 5x = 12 + 5x Add '-5x' to each side of the equation. 35 + 5x + -5x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 35 + 0 = 12 + 5x + -5x 35 = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 35 = 12 + 0 35 = 12 Solving 35 = 12 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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