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Simplifying 8[2 + -1(5 + 2x)] + -4x = -26 + 2(1 + -10x) 8[2 + (5 * -1 + 2x * -1)] + -4x = -26 + 2(1 + -10x) 8[2 + (-5 + -2x)] + -4x = -26 + 2(1 + -10x) Combine like terms: 2 + -5 = -3 8[-3 + -2x] + -4x = -26 + 2(1 + -10x) [-3 * 8 + -2x * 8] + -4x = -26 + 2(1 + -10x) [-24 + -16x] + -4x = -26 + 2(1 + -10x) Combine like terms: -16x + -4x = -20x -24 + -20x = -26 + 2(1 + -10x) -24 + -20x = -26 + (1 * 2 + -10x * 2) -24 + -20x = -26 + (2 + -20x) Combine like terms: -26 + 2 = -24 -24 + -20x = -24 + -20x Add '24' to each side of the equation. -24 + 24 + -20x = -24 + 24 + -20x Combine like terms: -24 + 24 = 0 0 + -20x = -24 + 24 + -20x -20x = -24 + 24 + -20x Combine like terms: -24 + 24 = 0 -20x = 0 + -20x -20x = -20x Add '20x' to each side of the equation. -20x + 20x = -20x + 20x Combine like terms: -20x + 20x = 0 0 = -20x + 20x Combine like terms: -20x + 20x = 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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