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Simplifying 5(x + 6) + 10 = 8x + -3(x + -6) Reorder the terms: 5(6 + x) + 10 = 8x + -3(x + -6) (6 * 5 + x * 5) + 10 = 8x + -3(x + -6) (30 + 5x) + 10 = 8x + -3(x + -6) Reorder the terms: 30 + 10 + 5x = 8x + -3(x + -6) Combine like terms: 30 + 10 = 40 40 + 5x = 8x + -3(x + -6) Reorder the terms: 40 + 5x = 8x + -3(-6 + x) 40 + 5x = 8x + (-6 * -3 + x * -3) 40 + 5x = 8x + (18 + -3x) Reorder the terms: 40 + 5x = 18 + 8x + -3x Combine like terms: 8x + -3x = 5x 40 + 5x = 18 + 5x Add '-5x' to each side of the equation. 40 + 5x + -5x = 18 + 5x + -5x Combine like terms: 5x + -5x = 0 40 + 0 = 18 + 5x + -5x 40 = 18 + 5x + -5x Combine like terms: 5x + -5x = 0 40 = 18 + 0 40 = 18 Solving 40 = 18 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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