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