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Simplifying 4(x + -2) = 46 + -5x Reorder the terms: 4(-2 + x) = 46 + -5x (-2 * 4 + x * 4) = 46 + -5x (-8 + 4x) = 46 + -5x Solving -8 + 4x = 46 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -8 + 4x + 5x = 46 + -5x + 5x Combine like terms: 4x + 5x = 9x -8 + 9x = 46 + -5x + 5x Combine like terms: -5x + 5x = 0 -8 + 9x = 46 + 0 -8 + 9x = 46 Add '8' to each side of the equation. -8 + 8 + 9x = 46 + 8 Combine like terms: -8 + 8 = 0 0 + 9x = 46 + 8 9x = 46 + 8 Combine like terms: 46 + 8 = 54 9x = 54 Divide each side by '9'. x = 6 Simplifying x = 6
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