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Simplifying 8(4x + 8) = 11 + -1(x + -2) Reorder the terms: 8(8 + 4x) = 11 + -1(x + -2) (8 * 8 + 4x * 8) = 11 + -1(x + -2) (64 + 32x) = 11 + -1(x + -2) Reorder the terms: 64 + 32x = 11 + -1(-2 + x) 64 + 32x = 11 + (-2 * -1 + x * -1) 64 + 32x = 11 + (2 + -1x) Combine like terms: 11 + 2 = 13 64 + 32x = 13 + -1x Solving 64 + 32x = 13 + -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 + 32x + x = 13 + -1x + x Combine like terms: 32x + x = 33x 64 + 33x = 13 + -1x + x Combine like terms: -1x + x = 0 64 + 33x = 13 + 0 64 + 33x = 13 Add '-64' to each side of the equation. 64 + -64 + 33x = 13 + -64 Combine like terms: 64 + -64 = 0 0 + 33x = 13 + -64 33x = 13 + -64 Combine like terms: 13 + -64 = -51 33x = -51 Divide each side by '33'. x = -1.545454545 Simplifying x = -1.545454545
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