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Simplifying 4x + -6 = 58 + 2x + -12 Reorder the terms: -6 + 4x = 58 + 2x + -12 Reorder the terms: -6 + 4x = 58 + -12 + 2x Combine like terms: 58 + -12 = 46 -6 + 4x = 46 + 2x Solving -6 + 4x = 46 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -6 + 4x + -2x = 46 + 2x + -2x Combine like terms: 4x + -2x = 2x -6 + 2x = 46 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + 2x = 46 + 0 -6 + 2x = 46 Add '6' to each side of the equation. -6 + 6 + 2x = 46 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = 46 + 6 2x = 46 + 6 Combine like terms: 46 + 6 = 52 2x = 52 Divide each side by '2'. x = 26 Simplifying x = 26
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