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