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Simplifying 8 + -1(x + 9) = 4x + -6 Reorder the terms: 8 + -1(9 + x) = 4x + -6 8 + (9 * -1 + x * -1) = 4x + -6 8 + (-9 + -1x) = 4x + -6 Combine like terms: 8 + -9 = -1 -1 + -1x = 4x + -6 Reorder the terms: -1 + -1x = -6 + 4x Solving -1 + -1x = -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. -1 + -1x + -4x = -6 + 4x + -4x Combine like terms: -1x + -4x = -5x -1 + -5x = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 -1 + -5x = -6 + 0 -1 + -5x = -6 Add '1' to each side of the equation. -1 + 1 + -5x = -6 + 1 Combine like terms: -1 + 1 = 0 0 + -5x = -6 + 1 -5x = -6 + 1 Combine like terms: -6 + 1 = -5 -5x = -5 Divide each side by '-5'. x = 1 Simplifying x = 1
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