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Simplifying 2x + 14 + 2x + -2 = 46 + -3x + 29 Reorder the terms: 14 + -2 + 2x + 2x = 46 + -3x + 29 Combine like terms: 14 + -2 = 12 12 + 2x + 2x = 46 + -3x + 29 Combine like terms: 2x + 2x = 4x 12 + 4x = 46 + -3x + 29 Reorder the terms: 12 + 4x = 46 + 29 + -3x Combine like terms: 46 + 29 = 75 12 + 4x = 75 + -3x Solving 12 + 4x = 75 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 12 + 4x + 3x = 75 + -3x + 3x Combine like terms: 4x + 3x = 7x 12 + 7x = 75 + -3x + 3x Combine like terms: -3x + 3x = 0 12 + 7x = 75 + 0 12 + 7x = 75 Add '-12' to each side of the equation. 12 + -12 + 7x = 75 + -12 Combine like terms: 12 + -12 = 0 0 + 7x = 75 + -12 7x = 75 + -12 Combine like terms: 75 + -12 = 63 7x = 63 Divide each side by '7'. x = 9 Simplifying x = 9
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