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Simplifying 12(x + 4) = 4(3x + 2) + 40 Reorder the terms: 12(4 + x) = 4(3x + 2) + 40 (4 * 12 + x * 12) = 4(3x + 2) + 40 (48 + 12x) = 4(3x + 2) + 40 Reorder the terms: 48 + 12x = 4(2 + 3x) + 40 48 + 12x = (2 * 4 + 3x * 4) + 40 48 + 12x = (8 + 12x) + 40 Reorder the terms: 48 + 12x = 8 + 40 + 12x Combine like terms: 8 + 40 = 48 48 + 12x = 48 + 12x Add '-48' to each side of the equation. 48 + -48 + 12x = 48 + -48 + 12x Combine like terms: 48 + -48 = 0 0 + 12x = 48 + -48 + 12x 12x = 48 + -48 + 12x Combine like terms: 48 + -48 = 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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