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Simplifying 6[4 + -1(3 + -1x)] + 2x = 2(4x + 5) + -4 6[4 + (3 * -1 + -1x * -1)] + 2x = 2(4x + 5) + -4 6[4 + (-3 + 1x)] + 2x = 2(4x + 5) + -4 Combine like terms: 4 + -3 = 1 6[1 + 1x] + 2x = 2(4x + 5) + -4 [1 * 6 + 1x * 6] + 2x = 2(4x + 5) + -4 [6 + 6x] + 2x = 2(4x + 5) + -4 Combine like terms: 6x + 2x = 8x 6 + 8x = 2(4x + 5) + -4 Reorder the terms: 6 + 8x = 2(5 + 4x) + -4 6 + 8x = (5 * 2 + 4x * 2) + -4 6 + 8x = (10 + 8x) + -4 Reorder the terms: 6 + 8x = 10 + -4 + 8x Combine like terms: 10 + -4 = 6 6 + 8x = 6 + 8x Add '-6' to each side of the equation. 6 + -6 + 8x = 6 + -6 + 8x Combine like terms: 6 + -6 = 0 0 + 8x = 6 + -6 + 8x 8x = 6 + -6 + 8x Combine like terms: 6 + -6 = 0 8x = 0 + 8x 8x = 8x Add '-8x' to each side of the equation. 8x + -8x = 8x + -8x Combine like terms: 8x + -8x = 0 0 = 8x + -8x Combine like terms: 8x + -8x = 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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