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Simplifying 3x + -29 = 2x + 16 Reorder the terms: -29 + 3x = 2x + 16 Reorder the terms: -29 + 3x = 16 + 2x Solving -29 + 3x = 16 + 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. -29 + 3x + -2x = 16 + 2x + -2x Combine like terms: 3x + -2x = 1x -29 + 1x = 16 + 2x + -2x Combine like terms: 2x + -2x = 0 -29 + 1x = 16 + 0 -29 + 1x = 16 Add '29' to each side of the equation. -29 + 29 + 1x = 16 + 29 Combine like terms: -29 + 29 = 0 0 + 1x = 16 + 29 1x = 16 + 29 Combine like terms: 16 + 29 = 45 1x = 45 Divide each side by '1'. x = 45 Simplifying x = 45
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