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Simplifying 7[5 + -1(4 + -2x)] + 6x = 4(5x + 5) + -13 7[5 + (4 * -1 + -2x * -1)] + 6x = 4(5x + 5) + -13 7[5 + (-4 + 2x)] + 6x = 4(5x + 5) + -13 Combine like terms: 5 + -4 = 1 7[1 + 2x] + 6x = 4(5x + 5) + -13 [1 * 7 + 2x * 7] + 6x = 4(5x + 5) + -13 [7 + 14x] + 6x = 4(5x + 5) + -13 Combine like terms: 14x + 6x = 20x 7 + 20x = 4(5x + 5) + -13 Reorder the terms: 7 + 20x = 4(5 + 5x) + -13 7 + 20x = (5 * 4 + 5x * 4) + -13 7 + 20x = (20 + 20x) + -13 Reorder the terms: 7 + 20x = 20 + -13 + 20x Combine like terms: 20 + -13 = 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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