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Simplifying 4(3x + 2) + 43 = 14x + 6 + -2x + 45 Reorder the terms: 4(2 + 3x) + 43 = 14x + 6 + -2x + 45 (2 * 4 + 3x * 4) + 43 = 14x + 6 + -2x + 45 (8 + 12x) + 43 = 14x + 6 + -2x + 45 Reorder the terms: 8 + 43 + 12x = 14x + 6 + -2x + 45 Combine like terms: 8 + 43 = 51 51 + 12x = 14x + 6 + -2x + 45 Reorder the terms: 51 + 12x = 6 + 45 + 14x + -2x Combine like terms: 6 + 45 = 51 51 + 12x = 51 + 14x + -2x Combine like terms: 14x + -2x = 12x 51 + 12x = 51 + 12x Add '-51' to each side of the equation. 51 + -51 + 12x = 51 + -51 + 12x Combine like terms: 51 + -51 = 0 0 + 12x = 51 + -51 + 12x 12x = 51 + -51 + 12x Combine like terms: 51 + -51 = 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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