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Simplifying 5(x + 4) + 10 = 9x + -4(x + -3) Reorder the terms: 5(4 + x) + 10 = 9x + -4(x + -3) (4 * 5 + x * 5) + 10 = 9x + -4(x + -3) (20 + 5x) + 10 = 9x + -4(x + -3) Reorder the terms: 20 + 10 + 5x = 9x + -4(x + -3) Combine like terms: 20 + 10 = 30 30 + 5x = 9x + -4(x + -3) Reorder the terms: 30 + 5x = 9x + -4(-3 + x) 30 + 5x = 9x + (-3 * -4 + x * -4) 30 + 5x = 9x + (12 + -4x) Reorder the terms: 30 + 5x = 12 + 9x + -4x Combine like terms: 9x + -4x = 5x 30 + 5x = 12 + 5x Add '-5x' to each side of the equation. 30 + 5x + -5x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 30 + 0 = 12 + 5x + -5x 30 = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 30 = 12 + 0 30 = 12 Solving 30 = 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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