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Simplifying 2x + -1[3 + -1(5x + -10)] = 21 + 8x Reorder the terms: 2x + -1[3 + -1(-10 + 5x)] = 21 + 8x 2x + -1[3 + (-10 * -1 + 5x * -1)] = 21 + 8x 2x + -1[3 + (10 + -5x)] = 21 + 8x Combine like terms: 3 + 10 = 13 2x + -1[13 + -5x] = 21 + 8x 2x + [13 * -1 + -5x * -1] = 21 + 8x 2x + [-13 + 5x] = 21 + 8x Reorder the terms: -13 + 2x + 5x = 21 + 8x Combine like terms: 2x + 5x = 7x -13 + 7x = 21 + 8x Solving -13 + 7x = 21 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -13 + 7x + -8x = 21 + 8x + -8x Combine like terms: 7x + -8x = -1x -13 + -1x = 21 + 8x + -8x Combine like terms: 8x + -8x = 0 -13 + -1x = 21 + 0 -13 + -1x = 21 Add '13' to each side of the equation. -13 + 13 + -1x = 21 + 13 Combine like terms: -13 + 13 = 0 0 + -1x = 21 + 13 -1x = 21 + 13 Combine like terms: 21 + 13 = 34 -1x = 34 Divide each side by '-1'. x = -34 Simplifying x = -34
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