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Simplifying 5 + -2(x + 1) = 3x + 8 Reorder the terms: 5 + -2(1 + x) = 3x + 8 5 + (1 * -2 + x * -2) = 3x + 8 5 + (-2 + -2x) = 3x + 8 Combine like terms: 5 + -2 = 3 3 + -2x = 3x + 8 Reorder the terms: 3 + -2x = 8 + 3x Solving 3 + -2x = 8 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 3 + -2x + -3x = 8 + 3x + -3x Combine like terms: -2x + -3x = -5x 3 + -5x = 8 + 3x + -3x Combine like terms: 3x + -3x = 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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