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Simplifying 6(x + 4) + 7 = 10x + -4(x + -6) Reorder the terms: 6(4 + x) + 7 = 10x + -4(x + -6) (4 * 6 + x * 6) + 7 = 10x + -4(x + -6) (24 + 6x) + 7 = 10x + -4(x + -6) Reorder the terms: 24 + 7 + 6x = 10x + -4(x + -6) Combine like terms: 24 + 7 = 31 31 + 6x = 10x + -4(x + -6) Reorder the terms: 31 + 6x = 10x + -4(-6 + x) 31 + 6x = 10x + (-6 * -4 + x * -4) 31 + 6x = 10x + (24 + -4x) Reorder the terms: 31 + 6x = 24 + 10x + -4x Combine like terms: 10x + -4x = 6x 31 + 6x = 24 + 6x Add '-6x' to each side of the equation. 31 + 6x + -6x = 24 + 6x + -6x Combine like terms: 6x + -6x = 0 31 + 0 = 24 + 6x + -6x 31 = 24 + 6x + -6x Combine like terms: 6x + -6x = 0 31 = 24 + 0 31 = 24 Solving 31 = 24 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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