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