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Simplifying 8x + 11 + -1(3x + -6) = 5 + -3x + -1(6 + -4x) Reorder the terms: 8x + 11 + -1(-6 + 3x) = 5 + -3x + -1(6 + -4x) 8x + 11 + (-6 * -1 + 3x * -1) = 5 + -3x + -1(6 + -4x) 8x + 11 + (6 + -3x) = 5 + -3x + -1(6 + -4x) Reorder the terms: 11 + 6 + 8x + -3x = 5 + -3x + -1(6 + -4x) Combine like terms: 11 + 6 = 17 17 + 8x + -3x = 5 + -3x + -1(6 + -4x) Combine like terms: 8x + -3x = 5x 17 + 5x = 5 + -3x + -1(6 + -4x) 17 + 5x = 5 + -3x + (6 * -1 + -4x * -1) 17 + 5x = 5 + -3x + (-6 + 4x) Reorder the terms: 17 + 5x = 5 + -6 + -3x + 4x Combine like terms: 5 + -6 = -1 17 + 5x = -1 + -3x + 4x Combine like terms: -3x + 4x = 1x 17 + 5x = -1 + 1x Solving 17 + 5x = -1 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 17 + 5x + -1x = -1 + 1x + -1x Combine like terms: 5x + -1x = 4x 17 + 4x = -1 + 1x + -1x Combine like terms: 1x + -1x = 0 17 + 4x = -1 + 0 17 + 4x = -1 Add '-17' to each side of the equation. 17 + -17 + 4x = -1 + -17 Combine like terms: 17 + -17 = 0 0 + 4x = -1 + -17 4x = -1 + -17 Combine like terms: -1 + -17 = -18 4x = -18 Divide each side by '4'. x = -4.5 Simplifying x = -4.5
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