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