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Simplifying 6(8x + 16) = 17 + -1(x + 2) Reorder the terms: 6(16 + 8x) = 17 + -1(x + 2) (16 * 6 + 8x * 6) = 17 + -1(x + 2) (96 + 48x) = 17 + -1(x + 2) Reorder the terms: 96 + 48x = 17 + -1(2 + x) 96 + 48x = 17 + (2 * -1 + x * -1) 96 + 48x = 17 + (-2 + -1x) Combine like terms: 17 + -2 = 15 96 + 48x = 15 + -1x Solving 96 + 48x = 15 + -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. 96 + 48x + x = 15 + -1x + x Combine like terms: 48x + x = 49x 96 + 49x = 15 + -1x + x Combine like terms: -1x + x = 0 96 + 49x = 15 + 0 96 + 49x = 15 Add '-96' to each side of the equation. 96 + -96 + 49x = 15 + -96 Combine like terms: 96 + -96 = 0 0 + 49x = 15 + -96 49x = 15 + -96 Combine like terms: 15 + -96 = -81 49x = -81 Divide each side by '49'. x = -1.653061224 Simplifying x = -1.653061224
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