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Simplifying 6(x + 7) + 6 = 10x + -4(x + -4) Reorder the terms: 6(7 + x) + 6 = 10x + -4(x + -4) (7 * 6 + x * 6) + 6 = 10x + -4(x + -4) (42 + 6x) + 6 = 10x + -4(x + -4) Reorder the terms: 42 + 6 + 6x = 10x + -4(x + -4) Combine like terms: 42 + 6 = 48 48 + 6x = 10x + -4(x + -4) Reorder the terms: 48 + 6x = 10x + -4(-4 + x) 48 + 6x = 10x + (-4 * -4 + x * -4) 48 + 6x = 10x + (16 + -4x) Reorder the terms: 48 + 6x = 16 + 10x + -4x Combine like terms: 10x + -4x = 6x 48 + 6x = 16 + 6x Add '-6x' to each side of the equation. 48 + 6x + -6x = 16 + 6x + -6x Combine like terms: 6x + -6x = 0 48 + 0 = 16 + 6x + -6x 48 = 16 + 6x + -6x Combine like terms: 6x + -6x = 0 48 = 16 + 0 48 = 16 Solving 48 = 16 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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