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Simplifying 8(4x + 2) = 11 + -1(x + 2) Reorder the terms: 8(2 + 4x) = 11 + -1(x + 2) (2 * 8 + 4x * 8) = 11 + -1(x + 2) (16 + 32x) = 11 + -1(x + 2) Reorder the terms: 16 + 32x = 11 + -1(2 + x) 16 + 32x = 11 + (2 * -1 + x * -1) 16 + 32x = 11 + (-2 + -1x) Combine like terms: 11 + -2 = 9 16 + 32x = 9 + -1x Solving 16 + 32x = 9 + -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. 16 + 32x + x = 9 + -1x + x Combine like terms: 32x + x = 33x 16 + 33x = 9 + -1x + x Combine like terms: -1x + x = 0 16 + 33x = 9 + 0 16 + 33x = 9 Add '-16' to each side of the equation. 16 + -16 + 33x = 9 + -16 Combine like terms: 16 + -16 = 0 0 + 33x = 9 + -16 33x = 9 + -16 Combine like terms: 9 + -16 = -7 33x = -7 Divide each side by '33'. x = -0.2121212121 Simplifying x = -0.2121212121
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