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Simplifying 4(2x + 5) = 12x + 7 + -4x + 13 Reorder the terms: 4(5 + 2x) = 12x + 7 + -4x + 13 (5 * 4 + 2x * 4) = 12x + 7 + -4x + 13 (20 + 8x) = 12x + 7 + -4x + 13 Reorder the terms: 20 + 8x = 7 + 13 + 12x + -4x Combine like terms: 7 + 13 = 20 20 + 8x = 20 + 12x + -4x Combine like terms: 12x + -4x = 8x 20 + 8x = 20 + 8x Add '-20' to each side of the equation. 20 + -20 + 8x = 20 + -20 + 8x Combine like terms: 20 + -20 = 0 0 + 8x = 20 + -20 + 8x 8x = 20 + -20 + 8x Combine like terms: 20 + -20 = 0 8x = 0 + 8x 8x = 8x Add '-8x' to each side of the equation. 8x + -8x = 8x + -8x Combine like terms: 8x + -8x = 0 0 = 8x + -8x Combine like terms: 8x + -8x = 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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