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Simplifying 1 + -2[5(3x + -1) + -5(1 + 2x)] = 3(7 + -3x) + -1x Reorder the terms: 1 + -2[5(-1 + 3x) + -5(1 + 2x)] = 3(7 + -3x) + -1x 1 + -2[(-1 * 5 + 3x * 5) + -5(1 + 2x)] = 3(7 + -3x) + -1x 1 + -2[(-5 + 15x) + -5(1 + 2x)] = 3(7 + -3x) + -1x 1 + -2[-5 + 15x + (1 * -5 + 2x * -5)] = 3(7 + -3x) + -1x 1 + -2[-5 + 15x + (-5 + -10x)] = 3(7 + -3x) + -1x Reorder the terms: 1 + -2[-5 + -5 + 15x + -10x] = 3(7 + -3x) + -1x Combine like terms: -5 + -5 = -10 1 + -2[-10 + 15x + -10x] = 3(7 + -3x) + -1x Combine like terms: 15x + -10x = 5x 1 + -2[-10 + 5x] = 3(7 + -3x) + -1x 1 + [-10 * -2 + 5x * -2] = 3(7 + -3x) + -1x 1 + [20 + -10x] = 3(7 + -3x) + -1x Combine like terms: 1 + 20 = 21 21 + -10x = 3(7 + -3x) + -1x 21 + -10x = (7 * 3 + -3x * 3) + -1x 21 + -10x = (21 + -9x) + -1x Combine like terms: -9x + -1x = -10x 21 + -10x = 21 + -10x Add '-21' to each side of the equation. 21 + -21 + -10x = 21 + -21 + -10x Combine like terms: 21 + -21 = 0 0 + -10x = 21 + -21 + -10x -10x = 21 + -21 + -10x Combine like terms: 21 + -21 = 0 -10x = 0 + -10x -10x = -10x Add '10x' to each side of the equation. -10x + 10x = -10x + 10x Combine like terms: -10x + 10x = 0 0 = -10x + 10x Combine like terms: -10x + 10x = 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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