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Simplifying 2[x + 5(6 + -1x) + 18] + -11 = 49 + -10x 2[x + (6 * 5 + -1x * 5) + 18] + -11 = 49 + -10x 2[x + (30 + -5x) + 18] + -11 = 49 + -10x Reorder the terms: 2[30 + 18 + x + -5x] + -11 = 49 + -10x Combine like terms: 30 + 18 = 48 2[48 + x + -5x] + -11 = 49 + -10x Combine like terms: x + -5x = -4x 2[48 + -4x] + -11 = 49 + -10x [48 * 2 + -4x * 2] + -11 = 49 + -10x [96 + -8x] + -11 = 49 + -10x Reorder the terms: 96 + -11 + -8x = 49 + -10x Combine like terms: 96 + -11 = 85 85 + -8x = 49 + -10x Solving 85 + -8x = 49 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 85 + -8x + 10x = 49 + -10x + 10x Combine like terms: -8x + 10x = 2x 85 + 2x = 49 + -10x + 10x Combine like terms: -10x + 10x = 0 85 + 2x = 49 + 0 85 + 2x = 49 Add '-85' to each side of the equation. 85 + -85 + 2x = 49 + -85 Combine like terms: 85 + -85 = 0 0 + 2x = 49 + -85 2x = 49 + -85 Combine like terms: 49 + -85 = -36 2x = -36 Divide each side by '2'. x = -18 Simplifying x = -18
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