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Simplifying 14[4 + -1(3 + -3x)] + 3x = 5(9x + 4) + -6 14[4 + (3 * -1 + -3x * -1)] + 3x = 5(9x + 4) + -6 14[4 + (-3 + 3x)] + 3x = 5(9x + 4) + -6 Combine like terms: 4 + -3 = 1 14[1 + 3x] + 3x = 5(9x + 4) + -6 [1 * 14 + 3x * 14] + 3x = 5(9x + 4) + -6 [14 + 42x] + 3x = 5(9x + 4) + -6 Combine like terms: 42x + 3x = 45x 14 + 45x = 5(9x + 4) + -6 Reorder the terms: 14 + 45x = 5(4 + 9x) + -6 14 + 45x = (4 * 5 + 9x * 5) + -6 14 + 45x = (20 + 45x) + -6 Reorder the terms: 14 + 45x = 20 + -6 + 45x Combine like terms: 20 + -6 = 14 14 + 45x = 14 + 45x Add '-14' to each side of the equation. 14 + -14 + 45x = 14 + -14 + 45x Combine like terms: 14 + -14 = 0 0 + 45x = 14 + -14 + 45x 45x = 14 + -14 + 45x Combine like terms: 14 + -14 = 0 45x = 0 + 45x 45x = 45x Add '-45x' to each side of the equation. 45x + -45x = 45x + -45x Combine like terms: 45x + -45x = 0 0 = 45x + -45x Combine like terms: 45x + -45x = 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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