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Simplifying 6(x + 3) + -2x = 2(2x + 4) + -10 Reorder the terms: 6(3 + x) + -2x = 2(2x + 4) + -10 (3 * 6 + x * 6) + -2x = 2(2x + 4) + -10 (18 + 6x) + -2x = 2(2x + 4) + -10 Combine like terms: 6x + -2x = 4x 18 + 4x = 2(2x + 4) + -10 Reorder the terms: 18 + 4x = 2(4 + 2x) + -10 18 + 4x = (4 * 2 + 2x * 2) + -10 18 + 4x = (8 + 4x) + -10 Reorder the terms: 18 + 4x = 8 + -10 + 4x Combine like terms: 8 + -10 = -2 18 + 4x = -2 + 4x Add '-4x' to each side of the equation. 18 + 4x + -4x = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 18 + 0 = -2 + 4x + -4x 18 = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 18 = -2 + 0 18 = -2 Solving 18 = -2 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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