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Simplifying 7(x + -6) = 4x + (3x + 10) Reorder the terms: 7(-6 + x) = 4x + (3x + 10) (-6 * 7 + x * 7) = 4x + (3x + 10) (-42 + 7x) = 4x + (3x + 10) Reorder the terms: -42 + 7x = 4x + (10 + 3x) Remove parenthesis around (10 + 3x) -42 + 7x = 4x + 10 + 3x Reorder the terms: -42 + 7x = 10 + 4x + 3x Combine like terms: 4x + 3x = 7x -42 + 7x = 10 + 7x Add '-7x' to each side of the equation. -42 + 7x + -7x = 10 + 7x + -7x Combine like terms: 7x + -7x = 0 -42 + 0 = 10 + 7x + -7x -42 = 10 + 7x + -7x Combine like terms: 7x + -7x = 0 -42 = 10 + 0 -42 = 10 Solving -42 = 10 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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