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Simplifying 8 + -2(x + 1) = -3x + 1 Reorder the terms: 8 + -2(1 + x) = -3x + 1 8 + (1 * -2 + x * -2) = -3x + 1 8 + (-2 + -2x) = -3x + 1 Combine like terms: 8 + -2 = 6 6 + -2x = -3x + 1 Reorder the terms: 6 + -2x = 1 + -3x Solving 6 + -2x = 1 + -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. 6 + -2x + 3x = 1 + -3x + 3x Combine like terms: -2x + 3x = 1x 6 + 1x = 1 + -3x + 3x Combine like terms: -3x + 3x = 0 6 + 1x = 1 + 0 6 + 1x = 1 Add '-6' to each side of the equation. 6 + -6 + 1x = 1 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = 1 + -6 1x = 1 + -6 Combine like terms: 1 + -6 = -5 1x = -5 Divide each side by '1'. x = -5 Simplifying x = -5
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