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