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Simplifying 7x + 14 + -3x + -12 + -1x = 2x + 10 + 46 Reorder the terms: 14 + -12 + 7x + -3x + -1x = 2x + 10 + 46 Combine like terms: 14 + -12 = 2 2 + 7x + -3x + -1x = 2x + 10 + 46 Combine like terms: 7x + -3x = 4x 2 + 4x + -1x = 2x + 10 + 46 Combine like terms: 4x + -1x = 3x 2 + 3x = 2x + 10 + 46 Reorder the terms: 2 + 3x = 10 + 46 + 2x Combine like terms: 10 + 46 = 56 2 + 3x = 56 + 2x Solving 2 + 3x = 56 + 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. 2 + 3x + -2x = 56 + 2x + -2x Combine like terms: 3x + -2x = 1x 2 + 1x = 56 + 2x + -2x Combine like terms: 2x + -2x = 0 2 + 1x = 56 + 0 2 + 1x = 56 Add '-2' to each side of the equation. 2 + -2 + 1x = 56 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = 56 + -2 1x = 56 + -2 Combine like terms: 56 + -2 = 54 1x = 54 Divide each side by '1'. x = 54 Simplifying x = 54
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