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Simplifying 3(x + -1) = -4x + 46 Reorder the terms: 3(-1 + x) = -4x + 46 (-1 * 3 + x * 3) = -4x + 46 (-3 + 3x) = -4x + 46 Reorder the terms: -3 + 3x = 46 + -4x Solving -3 + 3x = 46 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -3 + 3x + 4x = 46 + -4x + 4x Combine like terms: 3x + 4x = 7x -3 + 7x = 46 + -4x + 4x Combine like terms: -4x + 4x = 0 -3 + 7x = 46 + 0 -3 + 7x = 46 Add '3' to each side of the equation. -3 + 3 + 7x = 46 + 3 Combine like terms: -3 + 3 = 0 0 + 7x = 46 + 3 7x = 46 + 3 Combine like terms: 46 + 3 = 49 7x = 49 Divide each side by '7'. x = 7 Simplifying x = 7
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