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Simplifying 3 + -1(x + 1) = 5x + 6 + -7 Reorder the terms: 3 + -1(1 + x) = 5x + 6 + -7 3 + (1 * -1 + x * -1) = 5x + 6 + -7 3 + (-1 + -1x) = 5x + 6 + -7 Combine like terms: 3 + -1 = 2 2 + -1x = 5x + 6 + -7 Reorder the terms: 2 + -1x = 6 + -7 + 5x Combine like terms: 6 + -7 = -1 2 + -1x = -1 + 5x Solving 2 + -1x = -1 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 2 + -1x + -5x = -1 + 5x + -5x Combine like terms: -1x + -5x = -6x 2 + -6x = -1 + 5x + -5x Combine like terms: 5x + -5x = 0 2 + -6x = -1 + 0 2 + -6x = -1 Add '-2' to each side of the equation. 2 + -2 + -6x = -1 + -2 Combine like terms: 2 + -2 = 0 0 + -6x = -1 + -2 -6x = -1 + -2 Combine like terms: -1 + -2 = -3 -6x = -3 Divide each side by '-6'. x = 0.5 Simplifying x = 0.5
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