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Simplifying 2 + -3(x + 1) = 7 + x Reorder the terms: 2 + -3(1 + x) = 7 + x 2 + (1 * -3 + x * -3) = 7 + x 2 + (-3 + -3x) = 7 + x Combine like terms: 2 + -3 = -1 -1 + -3x = 7 + x Solving -1 + -3x = 7 + 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. -1 + -3x + -1x = 7 + x + -1x Combine like terms: -3x + -1x = -4x -1 + -4x = 7 + x + -1x Combine like terms: x + -1x = 0 -1 + -4x = 7 + 0 -1 + -4x = 7 Add '1' to each side of the equation. -1 + 1 + -4x = 7 + 1 Combine like terms: -1 + 1 = 0 0 + -4x = 7 + 1 -4x = 7 + 1 Combine like terms: 7 + 1 = 8 -4x = 8 Divide each side by '-4'. x = -2 Simplifying x = -2
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