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Simplifying x + 2 + -3(x + 1) = x + -47 Reorder the terms: x + 2 + -3(1 + x) = x + -47 x + 2 + (1 * -3 + x * -3) = x + -47 x + 2 + (-3 + -3x) = x + -47 Reorder the terms: 2 + -3 + x + -3x = x + -47 Combine like terms: 2 + -3 = -1 -1 + x + -3x = x + -47 Combine like terms: x + -3x = -2x -1 + -2x = x + -47 Reorder the terms: -1 + -2x = -47 + x Solving -1 + -2x = -47 + 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 + -2x + -1x = -47 + x + -1x Combine like terms: -2x + -1x = -3x -1 + -3x = -47 + x + -1x Combine like terms: x + -1x = 0 -1 + -3x = -47 + 0 -1 + -3x = -47 Add '1' to each side of the equation. -1 + 1 + -3x = -47 + 1 Combine like terms: -1 + 1 = 0 0 + -3x = -47 + 1 -3x = -47 + 1 Combine like terms: -47 + 1 = -46 -3x = -46 Divide each side by '-3'. x = 15.33333333 Simplifying x = 15.33333333
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