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Simplifying 4(5 + -3x) + 12 = 3(4 + -4x) + 20 (5 * 4 + -3x * 4) + 12 = 3(4 + -4x) + 20 (20 + -12x) + 12 = 3(4 + -4x) + 20 Reorder the terms: 20 + 12 + -12x = 3(4 + -4x) + 20 Combine like terms: 20 + 12 = 32 32 + -12x = 3(4 + -4x) + 20 32 + -12x = (4 * 3 + -4x * 3) + 20 32 + -12x = (12 + -12x) + 20 Reorder the terms: 32 + -12x = 12 + 20 + -12x Combine like terms: 12 + 20 = 32 32 + -12x = 32 + -12x Add '-32' to each side of the equation. 32 + -32 + -12x = 32 + -32 + -12x Combine like terms: 32 + -32 = 0 0 + -12x = 32 + -32 + -12x -12x = 32 + -32 + -12x Combine like terms: 32 + -32 = 0 -12x = 0 + -12x -12x = -12x Add '12x' to each side of the equation. -12x + 12x = -12x + 12x Combine like terms: -12x + 12x = 0 0 = -12x + 12x Combine like terms: -12x + 12x = 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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