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Simplifying 8(4x + 6) = 11 + -1(x + 7) Reorder the terms: 8(6 + 4x) = 11 + -1(x + 7) (6 * 8 + 4x * 8) = 11 + -1(x + 7) (48 + 32x) = 11 + -1(x + 7) Reorder the terms: 48 + 32x = 11 + -1(7 + x) 48 + 32x = 11 + (7 * -1 + x * -1) 48 + 32x = 11 + (-7 + -1x) Combine like terms: 11 + -7 = 4 48 + 32x = 4 + -1x Solving 48 + 32x = 4 + -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. 48 + 32x + x = 4 + -1x + x Combine like terms: 32x + x = 33x 48 + 33x = 4 + -1x + x Combine like terms: -1x + x = 0 48 + 33x = 4 + 0 48 + 33x = 4 Add '-48' to each side of the equation. 48 + -48 + 33x = 4 + -48 Combine like terms: 48 + -48 = 0 0 + 33x = 4 + -48 33x = 4 + -48 Combine like terms: 4 + -48 = -44 33x = -44 Divide each side by '33'. x = -1.333333333 Simplifying x = -1.333333333
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