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Simplifying 2[x + 4(6 + -1x) + 18] + -10 = 38 + -8x 2[x + (6 * 4 + -1x * 4) + 18] + -10 = 38 + -8x 2[x + (24 + -4x) + 18] + -10 = 38 + -8x Reorder the terms: 2[24 + 18 + x + -4x] + -10 = 38 + -8x Combine like terms: 24 + 18 = 42 2[42 + x + -4x] + -10 = 38 + -8x Combine like terms: x + -4x = -3x 2[42 + -3x] + -10 = 38 + -8x [42 * 2 + -3x * 2] + -10 = 38 + -8x [84 + -6x] + -10 = 38 + -8x Reorder the terms: 84 + -10 + -6x = 38 + -8x Combine like terms: 84 + -10 = 74 74 + -6x = 38 + -8x Solving 74 + -6x = 38 + -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. 74 + -6x + 8x = 38 + -8x + 8x Combine like terms: -6x + 8x = 2x 74 + 2x = 38 + -8x + 8x Combine like terms: -8x + 8x = 0 74 + 2x = 38 + 0 74 + 2x = 38 Add '-74' to each side of the equation. 74 + -74 + 2x = 38 + -74 Combine like terms: 74 + -74 = 0 0 + 2x = 38 + -74 2x = 38 + -74 Combine like terms: 38 + -74 = -36 2x = -36 Divide each side by '2'. x = -18 Simplifying x = -18
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