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Simplifying 8(3x + 6) = 11 + -1(x + 2) Reorder the terms: 8(6 + 3x) = 11 + -1(x + 2) (6 * 8 + 3x * 8) = 11 + -1(x + 2) (48 + 24x) = 11 + -1(x + 2) Reorder the terms: 48 + 24x = 11 + -1(2 + x) 48 + 24x = 11 + (2 * -1 + x * -1) 48 + 24x = 11 + (-2 + -1x) Combine like terms: 11 + -2 = 9 48 + 24x = 9 + -1x Solving 48 + 24x = 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. 48 + 24x + x = 9 + -1x + x Combine like terms: 24x + x = 25x 48 + 25x = 9 + -1x + x Combine like terms: -1x + x = 0 48 + 25x = 9 + 0 48 + 25x = 9 Add '-48' to each side of the equation. 48 + -48 + 25x = 9 + -48 Combine like terms: 48 + -48 = 0 0 + 25x = 9 + -48 25x = 9 + -48 Combine like terms: 9 + -48 = -39 25x = -39 Divide each side by '25'. x = -1.56 Simplifying x = -1.56
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