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Simplifying 3x + 4 = 2(x + -6) + (x + 6) Reorder the terms: 4 + 3x = 2(x + -6) + (x + 6) Reorder the terms: 4 + 3x = 2(-6 + x) + (x + 6) 4 + 3x = (-6 * 2 + x * 2) + (x + 6) 4 + 3x = (-12 + 2x) + (x + 6) Reorder the terms: 4 + 3x = -12 + 2x + (6 + x) Remove parenthesis around (6 + x) 4 + 3x = -12 + 2x + 6 + x Reorder the terms: 4 + 3x = -12 + 6 + 2x + x Combine like terms: -12 + 6 = -6 4 + 3x = -6 + 2x + x Combine like terms: 2x + x = 3x 4 + 3x = -6 + 3x Add '-3x' to each side of the equation. 4 + 3x + -3x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + 0 = -6 + 3x + -3x 4 = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 4 = -6 + 0 4 = -6 Solving 4 = -6 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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