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Simplifying 8(6x + 8) = 35 + -1(x + -3) Reorder the terms: 8(8 + 6x) = 35 + -1(x + -3) (8 * 8 + 6x * 8) = 35 + -1(x + -3) (64 + 48x) = 35 + -1(x + -3) Reorder the terms: 64 + 48x = 35 + -1(-3 + x) 64 + 48x = 35 + (-3 * -1 + x * -1) 64 + 48x = 35 + (3 + -1x) Combine like terms: 35 + 3 = 38 64 + 48x = 38 + -1x Solving 64 + 48x = 38 + -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. 64 + 48x + x = 38 + -1x + x Combine like terms: 48x + x = 49x 64 + 49x = 38 + -1x + x Combine like terms: -1x + x = 0 64 + 49x = 38 + 0 64 + 49x = 38 Add '-64' to each side of the equation. 64 + -64 + 49x = 38 + -64 Combine like terms: 64 + -64 = 0 0 + 49x = 38 + -64 49x = 38 + -64 Combine like terms: 38 + -64 = -26 49x = -26 Divide each side by '49'. x = -0.5306122449 Simplifying x = -0.5306122449
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