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Simplifying 7 + 10(x + -2) = 12x + -2(x + 4) Reorder the terms: 7 + 10(-2 + x) = 12x + -2(x + 4) 7 + (-2 * 10 + x * 10) = 12x + -2(x + 4) 7 + (-20 + 10x) = 12x + -2(x + 4) Combine like terms: 7 + -20 = -13 -13 + 10x = 12x + -2(x + 4) Reorder the terms: -13 + 10x = 12x + -2(4 + x) -13 + 10x = 12x + (4 * -2 + x * -2) -13 + 10x = 12x + (-8 + -2x) Reorder the terms: -13 + 10x = -8 + 12x + -2x Combine like terms: 12x + -2x = 10x -13 + 10x = -8 + 10x Add '-10x' to each side of the equation. -13 + 10x + -10x = -8 + 10x + -10x Combine like terms: 10x + -10x = 0 -13 + 0 = -8 + 10x + -10x -13 = -8 + 10x + -10x Combine like terms: 10x + -10x = 0 -13 = -8 + 0 -13 = -8 Solving -13 = -8 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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