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Simplifying 10 + -1[2(1 + -1x) + -3(2x + 5)] = 2(x + 5) + 1 10 + -1[(1 * 2 + -1x * 2) + -3(2x + 5)] = 2(x + 5) + 1 10 + -1[(2 + -2x) + -3(2x + 5)] = 2(x + 5) + 1 Reorder the terms: 10 + -1[2 + -2x + -3(5 + 2x)] = 2(x + 5) + 1 10 + -1[2 + -2x + (5 * -3 + 2x * -3)] = 2(x + 5) + 1 10 + -1[2 + -2x + (-15 + -6x)] = 2(x + 5) + 1 Reorder the terms: 10 + -1[2 + -15 + -2x + -6x] = 2(x + 5) + 1 Combine like terms: 2 + -15 = -13 10 + -1[-13 + -2x + -6x] = 2(x + 5) + 1 Combine like terms: -2x + -6x = -8x 10 + -1[-13 + -8x] = 2(x + 5) + 1 10 + [-13 * -1 + -8x * -1] = 2(x + 5) + 1 10 + [13 + 8x] = 2(x + 5) + 1 Combine like terms: 10 + 13 = 23 23 + 8x = 2(x + 5) + 1 Reorder the terms: 23 + 8x = 2(5 + x) + 1 23 + 8x = (5 * 2 + x * 2) + 1 23 + 8x = (10 + 2x) + 1 Reorder the terms: 23 + 8x = 10 + 1 + 2x Combine like terms: 10 + 1 = 11 23 + 8x = 11 + 2x Solving 23 + 8x = 11 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 23 + 8x + -2x = 11 + 2x + -2x Combine like terms: 8x + -2x = 6x 23 + 6x = 11 + 2x + -2x Combine like terms: 2x + -2x = 0 23 + 6x = 11 + 0 23 + 6x = 11 Add '-23' to each side of the equation. 23 + -23 + 6x = 11 + -23 Combine like terms: 23 + -23 = 0 0 + 6x = 11 + -23 6x = 11 + -23 Combine like terms: 11 + -23 = -12 6x = -12 Divide each side by '6'. x = -2 Simplifying x = -2
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