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Simplifying 4(x + 2) = 3(4x + 2) + -2(4x + -1) Reorder the terms: 4(2 + x) = 3(4x + 2) + -2(4x + -1) (2 * 4 + x * 4) = 3(4x + 2) + -2(4x + -1) (8 + 4x) = 3(4x + 2) + -2(4x + -1) Reorder the terms: 8 + 4x = 3(2 + 4x) + -2(4x + -1) 8 + 4x = (2 * 3 + 4x * 3) + -2(4x + -1) 8 + 4x = (6 + 12x) + -2(4x + -1) Reorder the terms: 8 + 4x = 6 + 12x + -2(-1 + 4x) 8 + 4x = 6 + 12x + (-1 * -2 + 4x * -2) 8 + 4x = 6 + 12x + (2 + -8x) Reorder the terms: 8 + 4x = 6 + 2 + 12x + -8x Combine like terms: 6 + 2 = 8 8 + 4x = 8 + 12x + -8x Combine like terms: 12x + -8x = 4x 8 + 4x = 8 + 4x Add '-8' to each side of the equation. 8 + -8 + 4x = 8 + -8 + 4x Combine like terms: 8 + -8 = 0 0 + 4x = 8 + -8 + 4x 4x = 8 + -8 + 4x Combine like terms: 8 + -8 = 0 4x = 0 + 4x 4x = 4x Add '-4x' to each side of the equation. 4x + -4x = 4x + -4x Combine like terms: 4x + -4x = 0 0 = 4x + -4x Combine like terms: 4x + -4x = 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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