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Simplifying 3x + 13 = 45 + -5x Reorder the terms: 13 + 3x = 45 + -5x Solving 13 + 3x = 45 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 13 + 3x + 5x = 45 + -5x + 5x Combine like terms: 3x + 5x = 8x 13 + 8x = 45 + -5x + 5x Combine like terms: -5x + 5x = 0 13 + 8x = 45 + 0 13 + 8x = 45 Add '-13' to each side of the equation. 13 + -13 + 8x = 45 + -13 Combine like terms: 13 + -13 = 0 0 + 8x = 45 + -13 8x = 45 + -13 Combine like terms: 45 + -13 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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