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Simplifying 3[4 + -1(3 + -6x)] + 2x = 4(5x + 3) + -9 3[4 + (3 * -1 + -6x * -1)] + 2x = 4(5x + 3) + -9 3[4 + (-3 + 6x)] + 2x = 4(5x + 3) + -9 Combine like terms: 4 + -3 = 1 3[1 + 6x] + 2x = 4(5x + 3) + -9 [1 * 3 + 6x * 3] + 2x = 4(5x + 3) + -9 [3 + 18x] + 2x = 4(5x + 3) + -9 Combine like terms: 18x + 2x = 20x 3 + 20x = 4(5x + 3) + -9 Reorder the terms: 3 + 20x = 4(3 + 5x) + -9 3 + 20x = (3 * 4 + 5x * 4) + -9 3 + 20x = (12 + 20x) + -9 Reorder the terms: 3 + 20x = 12 + -9 + 20x Combine like terms: 12 + -9 = 3 3 + 20x = 3 + 20x Add '-3' to each side of the equation. 3 + -3 + 20x = 3 + -3 + 20x Combine like terms: 3 + -3 = 0 0 + 20x = 3 + -3 + 20x 20x = 3 + -3 + 20x Combine like terms: 3 + -3 = 0 20x = 0 + 20x 20x = 20x Add '-20x' to each side of the equation. 20x + -20x = 20x + -20x Combine like terms: 20x + -20x = 0 0 = 20x + -20x Combine like terms: 20x + -20x = 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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