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Simplifying 2[x + 5(6 + -1x) + 18] + -10 = 50 + -10x 2[x + (6 * 5 + -1x * 5) + 18] + -10 = 50 + -10x 2[x + (30 + -5x) + 18] + -10 = 50 + -10x Reorder the terms: 2[30 + 18 + x + -5x] + -10 = 50 + -10x Combine like terms: 30 + 18 = 48 2[48 + x + -5x] + -10 = 50 + -10x Combine like terms: x + -5x = -4x 2[48 + -4x] + -10 = 50 + -10x [48 * 2 + -4x * 2] + -10 = 50 + -10x [96 + -8x] + -10 = 50 + -10x Reorder the terms: 96 + -10 + -8x = 50 + -10x Combine like terms: 96 + -10 = 86 86 + -8x = 50 + -10x Solving 86 + -8x = 50 + -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. 86 + -8x + 10x = 50 + -10x + 10x Combine like terms: -8x + 10x = 2x 86 + 2x = 50 + -10x + 10x Combine like terms: -10x + 10x = 0 86 + 2x = 50 + 0 86 + 2x = 50 Add '-86' to each side of the equation. 86 + -86 + 2x = 50 + -86 Combine like terms: 86 + -86 = 0 0 + 2x = 50 + -86 2x = 50 + -86 Combine like terms: 50 + -86 = -36 2x = -36 Divide each side by '2'. x = -18 Simplifying x = -18
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