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Simplifying 4(3x + 1) = 2(6x + -5) + 14 Reorder the terms: 4(1 + 3x) = 2(6x + -5) + 14 (1 * 4 + 3x * 4) = 2(6x + -5) + 14 (4 + 12x) = 2(6x + -5) + 14 Reorder the terms: 4 + 12x = 2(-5 + 6x) + 14 4 + 12x = (-5 * 2 + 6x * 2) + 14 4 + 12x = (-10 + 12x) + 14 Reorder the terms: 4 + 12x = -10 + 14 + 12x Combine like terms: -10 + 14 = 4 4 + 12x = 4 + 12x Add '-4' to each side of the equation. 4 + -4 + 12x = 4 + -4 + 12x Combine like terms: 4 + -4 = 0 0 + 12x = 4 + -4 + 12x 12x = 4 + -4 + 12x Combine like terms: 4 + -4 = 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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