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Simplifying 7(x + 4) + 9 = 10x + -3(x + -6) Reorder the terms: 7(4 + x) + 9 = 10x + -3(x + -6) (4 * 7 + x * 7) + 9 = 10x + -3(x + -6) (28 + 7x) + 9 = 10x + -3(x + -6) Reorder the terms: 28 + 9 + 7x = 10x + -3(x + -6) Combine like terms: 28 + 9 = 37 37 + 7x = 10x + -3(x + -6) Reorder the terms: 37 + 7x = 10x + -3(-6 + x) 37 + 7x = 10x + (-6 * -3 + x * -3) 37 + 7x = 10x + (18 + -3x) Reorder the terms: 37 + 7x = 18 + 10x + -3x Combine like terms: 10x + -3x = 7x 37 + 7x = 18 + 7x Add '-7x' to each side of the equation. 37 + 7x + -7x = 18 + 7x + -7x Combine like terms: 7x + -7x = 0 37 + 0 = 18 + 7x + -7x 37 = 18 + 7x + -7x Combine like terms: 7x + -7x = 0 37 = 18 + 0 37 = 18 Solving 37 = 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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