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Simplifying 5[2 + -1(4 + 2x)] + -16x = -20 + 2(5 + -13x) 5[2 + (4 * -1 + 2x * -1)] + -16x = -20 + 2(5 + -13x) 5[2 + (-4 + -2x)] + -16x = -20 + 2(5 + -13x) Combine like terms: 2 + -4 = -2 5[-2 + -2x] + -16x = -20 + 2(5 + -13x) [-2 * 5 + -2x * 5] + -16x = -20 + 2(5 + -13x) [-10 + -10x] + -16x = -20 + 2(5 + -13x) Combine like terms: -10x + -16x = -26x -10 + -26x = -20 + 2(5 + -13x) -10 + -26x = -20 + (5 * 2 + -13x * 2) -10 + -26x = -20 + (10 + -26x) Combine like terms: -20 + 10 = -10 -10 + -26x = -10 + -26x Add '10' to each side of the equation. -10 + 10 + -26x = -10 + 10 + -26x Combine like terms: -10 + 10 = 0 0 + -26x = -10 + 10 + -26x -26x = -10 + 10 + -26x Combine like terms: -10 + 10 = 0 -26x = 0 + -26x -26x = -26x Add '26x' to each side of the equation. -26x + 26x = -26x + 26x Combine like terms: -26x + 26x = 0 0 = -26x + 26x Combine like terms: -26x + 26x = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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