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Simplifying x + 14 + x + -16 = x + 45 Reorder the terms: 14 + -16 + x + x = x + 45 Combine like terms: 14 + -16 = -2 -2 + x + x = x + 45 Combine like terms: x + x = 2x -2 + 2x = x + 45 Reorder the terms: -2 + 2x = 45 + x Solving -2 + 2x = 45 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -2 + 2x + -1x = 45 + x + -1x Combine like terms: 2x + -1x = 1x -2 + 1x = 45 + x + -1x Combine like terms: x + -1x = 0 -2 + 1x = 45 + 0 -2 + 1x = 45 Add '2' to each side of the equation. -2 + 2 + 1x = 45 + 2 Combine like terms: -2 + 2 = 0 0 + 1x = 45 + 2 1x = 45 + 2 Combine like terms: 45 + 2 = 47 1x = 47 Divide each side by '1'. x = 47 Simplifying x = 47
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