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Simplifying 5[5 + -1(4 + -3x)] + x = 2(8x + 3) + -1 5[5 + (4 * -1 + -3x * -1)] + x = 2(8x + 3) + -1 5[5 + (-4 + 3x)] + x = 2(8x + 3) + -1 Combine like terms: 5 + -4 = 1 5[1 + 3x] + x = 2(8x + 3) + -1 [1 * 5 + 3x * 5] + x = 2(8x + 3) + -1 [5 + 15x] + x = 2(8x + 3) + -1 Combine like terms: 15x + x = 16x 5 + 16x = 2(8x + 3) + -1 Reorder the terms: 5 + 16x = 2(3 + 8x) + -1 5 + 16x = (3 * 2 + 8x * 2) + -1 5 + 16x = (6 + 16x) + -1 Reorder the terms: 5 + 16x = 6 + -1 + 16x Combine like terms: 6 + -1 = 5 5 + 16x = 5 + 16x Add '-5' to each side of the equation. 5 + -5 + 16x = 5 + -5 + 16x Combine like terms: 5 + -5 = 0 0 + 16x = 5 + -5 + 16x 16x = 5 + -5 + 16x Combine like terms: 5 + -5 = 0 16x = 0 + 16x 16x = 16x Add '-16x' to each side of the equation. 16x + -16x = 16x + -16x Combine like terms: 16x + -16x = 0 0 = 16x + -16x Combine like terms: 16x + -16x = 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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