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Simplifying 10 + 8[2x + 4] = 8 + -1x Reorder the terms: 10 + 8[4 + 2x] = 8 + -1x 10 + [4 * 8 + 2x * 8] = 8 + -1x 10 + [32 + 16x] = 8 + -1x Combine like terms: 10 + 32 = 42 42 + 16x = 8 + -1x Solving 42 + 16x = 8 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 42 + 16x + x = 8 + -1x + x Combine like terms: 16x + x = 17x 42 + 17x = 8 + -1x + x Combine like terms: -1x + x = 0 42 + 17x = 8 + 0 42 + 17x = 8 Add '-42' to each side of the equation. 42 + -42 + 17x = 8 + -42 Combine like terms: 42 + -42 = 0 0 + 17x = 8 + -42 17x = 8 + -42 Combine like terms: 8 + -42 = -34 17x = -34 Divide each side by '17'. x = -2 Simplifying x = -2
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