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Simplifying -3(1 + -2x) = 47 + -1x (1 * -3 + -2x * -3) = 47 + -1x (-3 + 6x) = 47 + -1x Solving -3 + 6x = 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 + 6x + x = 47 + -1x + x Combine like terms: 6x + x = 7x -3 + 7x = 47 + -1x + x Combine like terms: -1x + x = 0 -3 + 7x = 47 + 0 -3 + 7x = 47 Add '3' to each side of the equation. -3 + 3 + 7x = 47 + 3 Combine like terms: -3 + 3 = 0 0 + 7x = 47 + 3 7x = 47 + 3 Combine like terms: 47 + 3 = 50 7x = 50 Divide each side by '7'. x = 7.142857143 Simplifying x = 7.142857143
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