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Simplifying 2[x + 4(7 + -1x) + 16] + -10 = 46 + -8x 2[x + (7 * 4 + -1x * 4) + 16] + -10 = 46 + -8x 2[x + (28 + -4x) + 16] + -10 = 46 + -8x Reorder the terms: 2[28 + 16 + x + -4x] + -10 = 46 + -8x Combine like terms: 28 + 16 = 44 2[44 + x + -4x] + -10 = 46 + -8x Combine like terms: x + -4x = -3x 2[44 + -3x] + -10 = 46 + -8x [44 * 2 + -3x * 2] + -10 = 46 + -8x [88 + -6x] + -10 = 46 + -8x Reorder the terms: 88 + -10 + -6x = 46 + -8x Combine like terms: 88 + -10 = 78 78 + -6x = 46 + -8x Solving 78 + -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. 78 + -6x + 8x = 46 + -8x + 8x Combine like terms: -6x + 8x = 2x 78 + 2x = 46 + -8x + 8x Combine like terms: -8x + 8x = 0 78 + 2x = 46 + 0 78 + 2x = 46 Add '-78' to each side of the equation. 78 + -78 + 2x = 46 + -78 Combine like terms: 78 + -78 = 0 0 + 2x = 46 + -78 2x = 46 + -78 Combine like terms: 46 + -78 = -32 2x = -32 Divide each side by '2'. x = -16 Simplifying x = -16
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