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Simplifying 7 + -4(x + 1) = 8 + x Reorder the terms: 7 + -4(1 + x) = 8 + x 7 + (1 * -4 + x * -4) = 8 + x 7 + (-4 + -4x) = 8 + x Combine like terms: 7 + -4 = 3 3 + -4x = 8 + x Solving 3 + -4x = 8 + 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. 3 + -4x + -1x = 8 + x + -1x Combine like terms: -4x + -1x = -5x 3 + -5x = 8 + x + -1x Combine like terms: x + -1x = 0 3 + -5x = 8 + 0 3 + -5x = 8 Add '-3' to each side of the equation. 3 + -3 + -5x = 8 + -3 Combine like terms: 3 + -3 = 0 0 + -5x = 8 + -3 -5x = 8 + -3 Combine like terms: 8 + -3 = 5 -5x = 5 Divide each side by '-5'. x = -1 Simplifying x = -1
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