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Simplifying 7(x + 6) + 10 = 10x + -3(x + -6) Reorder the terms: 7(6 + x) + 10 = 10x + -3(x + -6) (6 * 7 + x * 7) + 10 = 10x + -3(x + -6) (42 + 7x) + 10 = 10x + -3(x + -6) Reorder the terms: 42 + 10 + 7x = 10x + -3(x + -6) Combine like terms: 42 + 10 = 52 52 + 7x = 10x + -3(x + -6) Reorder the terms: 52 + 7x = 10x + -3(-6 + x) 52 + 7x = 10x + (-6 * -3 + x * -3) 52 + 7x = 10x + (18 + -3x) Reorder the terms: 52 + 7x = 18 + 10x + -3x Combine like terms: 10x + -3x = 7x 52 + 7x = 18 + 7x Add '-7x' to each side of the equation. 52 + 7x + -7x = 18 + 7x + -7x Combine like terms: 7x + -7x = 0 52 + 0 = 18 + 7x + -7x 52 = 18 + 7x + -7x Combine like terms: 7x + -7x = 0 52 = 18 + 0 52 = 18 Solving 52 = 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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