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Simplifying 2[x + 4(7 + -1x) + 18] + -10 = 46 + -8x 2[x + (7 * 4 + -1x * 4) + 18] + -10 = 46 + -8x 2[x + (28 + -4x) + 18] + -10 = 46 + -8x Reorder the terms: 2[28 + 18 + x + -4x] + -10 = 46 + -8x Combine like terms: 28 + 18 = 46 2[46 + x + -4x] + -10 = 46 + -8x Combine like terms: x + -4x = -3x 2[46 + -3x] + -10 = 46 + -8x [46 * 2 + -3x * 2] + -10 = 46 + -8x [92 + -6x] + -10 = 46 + -8x Reorder the terms: 92 + -10 + -6x = 46 + -8x Combine like terms: 92 + -10 = 82 82 + -6x = 46 + -8x Solving 82 + -6x = 46 + -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. 82 + -6x + 8x = 46 + -8x + 8x Combine like terms: -6x + 8x = 2x 82 + 2x = 46 + -8x + 8x Combine like terms: -8x + 8x = 0 82 + 2x = 46 + 0 82 + 2x = 46 Add '-82' to each side of the equation. 82 + -82 + 2x = 46 + -82 Combine like terms: 82 + -82 = 0 0 + 2x = 46 + -82 2x = 46 + -82 Combine like terms: 46 + -82 = -36 2x = -36 Divide each side by '2'. x = -18 Simplifying x = -18
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