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Simplifying 8[4 + -1(3 + -4x)] + 3x = 5(7x + 3) + -7 8[4 + (3 * -1 + -4x * -1)] + 3x = 5(7x + 3) + -7 8[4 + (-3 + 4x)] + 3x = 5(7x + 3) + -7 Combine like terms: 4 + -3 = 1 8[1 + 4x] + 3x = 5(7x + 3) + -7 [1 * 8 + 4x * 8] + 3x = 5(7x + 3) + -7 [8 + 32x] + 3x = 5(7x + 3) + -7 Combine like terms: 32x + 3x = 35x 8 + 35x = 5(7x + 3) + -7 Reorder the terms: 8 + 35x = 5(3 + 7x) + -7 8 + 35x = (3 * 5 + 7x * 5) + -7 8 + 35x = (15 + 35x) + -7 Reorder the terms: 8 + 35x = 15 + -7 + 35x Combine like terms: 15 + -7 = 8 8 + 35x = 8 + 35x Add '-8' to each side of the equation. 8 + -8 + 35x = 8 + -8 + 35x Combine like terms: 8 + -8 = 0 0 + 35x = 8 + -8 + 35x 35x = 8 + -8 + 35x Combine like terms: 8 + -8 = 0 35x = 0 + 35x 35x = 35x Add '-35x' to each side of the equation. 35x + -35x = 35x + -35x Combine like terms: 35x + -35x = 0 0 = 35x + -35x Combine like terms: 35x + -35x = 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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