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Simplifying 7[3 + -1(2 + -2x)] + 6x = 4(5x + 2) + -1 7[3 + (2 * -1 + -2x * -1)] + 6x = 4(5x + 2) + -1 7[3 + (-2 + 2x)] + 6x = 4(5x + 2) + -1 Combine like terms: 3 + -2 = 1 7[1 + 2x] + 6x = 4(5x + 2) + -1 [1 * 7 + 2x * 7] + 6x = 4(5x + 2) + -1 [7 + 14x] + 6x = 4(5x + 2) + -1 Combine like terms: 14x + 6x = 20x 7 + 20x = 4(5x + 2) + -1 Reorder the terms: 7 + 20x = 4(2 + 5x) + -1 7 + 20x = (2 * 4 + 5x * 4) + -1 7 + 20x = (8 + 20x) + -1 Reorder the terms: 7 + 20x = 8 + -1 + 20x Combine like terms: 8 + -1 = 7 7 + 20x = 7 + 20x Add '-7' to each side of the equation. 7 + -7 + 20x = 7 + -7 + 20x Combine like terms: 7 + -7 = 0 0 + 20x = 7 + -7 + 20x 20x = 7 + -7 + 20x Combine like terms: 7 + -7 = 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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