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Simplifying 5[3 + -1(5 + 2x)] + -14x = -20 + 2(10 + -12x) 5[3 + (5 * -1 + 2x * -1)] + -14x = -20 + 2(10 + -12x) 5[3 + (-5 + -2x)] + -14x = -20 + 2(10 + -12x) Combine like terms: 3 + -5 = -2 5[-2 + -2x] + -14x = -20 + 2(10 + -12x) [-2 * 5 + -2x * 5] + -14x = -20 + 2(10 + -12x) [-10 + -10x] + -14x = -20 + 2(10 + -12x) Combine like terms: -10x + -14x = -24x -10 + -24x = -20 + 2(10 + -12x) -10 + -24x = -20 + (10 * 2 + -12x * 2) -10 + -24x = -20 + (20 + -24x) Combine like terms: -20 + 20 = 0 -10 + -24x = 0 + -24x -10 + -24x = -24x Add '24x' to each side of the equation. -10 + -24x + 24x = -24x + 24x Combine like terms: -24x + 24x = 0 -10 + 0 = -24x + 24x -10 = -24x + 24x Combine like terms: -24x + 24x = 0 -10 = 0 Solving -10 = 0 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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