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Simplifying 3x + -6 = 7x + -46 Reorder the terms: -6 + 3x = 7x + -46 Reorder the terms: -6 + 3x = -46 + 7x Solving -6 + 3x = -46 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -6 + 3x + -7x = -46 + 7x + -7x Combine like terms: 3x + -7x = -4x -6 + -4x = -46 + 7x + -7x Combine like terms: 7x + -7x = 0 -6 + -4x = -46 + 0 -6 + -4x = -46 Add '6' to each side of the equation. -6 + 6 + -4x = -46 + 6 Combine like terms: -6 + 6 = 0 0 + -4x = -46 + 6 -4x = -46 + 6 Combine like terms: -46 + 6 = -40 -4x = -40 Divide each side by '-4'. x = 10 Simplifying x = 10
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