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Simplifying 3x + -13 = 2x + 45 Reorder the terms: -13 + 3x = 2x + 45 Reorder the terms: -13 + 3x = 45 + 2x Solving -13 + 3x = 45 + 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. -13 + 3x + -2x = 45 + 2x + -2x Combine like terms: 3x + -2x = 1x -13 + 1x = 45 + 2x + -2x Combine like terms: 2x + -2x = 0 -13 + 1x = 45 + 0 -13 + 1x = 45 Add '13' to each side of the equation. -13 + 13 + 1x = 45 + 13 Combine like terms: -13 + 13 = 0 0 + 1x = 45 + 13 1x = 45 + 13 Combine like terms: 45 + 13 = 58 1x = 58 Divide each side by '1'. x = 58 Simplifying x = 58
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