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Simplifying x + 3(1 + -1x) = 47 + -1x x + (1 * 3 + -1x * 3) = 47 + -1x x + (3 + -3x) = 47 + -1x Reorder the terms: 3 + x + -3x = 47 + -1x Combine like terms: x + -3x = -2x 3 + -2x = 47 + -1x Solving 3 + -2x = 47 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 3 + -2x + x = 47 + -1x + x Combine like terms: -2x + x = -1x 3 + -1x = 47 + -1x + x Combine like terms: -1x + x = 0 3 + -1x = 47 + 0 3 + -1x = 47 Add '-3' to each side of the equation. 3 + -3 + -1x = 47 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 47 + -3 -1x = 47 + -3 Combine like terms: 47 + -3 = 44 -1x = 44 Divide each side by '-1'. x = -44 Simplifying x = -44
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