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Simplifying 5x + 13 = x + 45 Reorder the terms: 13 + 5x = x + 45 Reorder the terms: 13 + 5x = 45 + x Solving 13 + 5x = 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. 13 + 5x + -1x = 45 + x + -1x Combine like terms: 5x + -1x = 4x 13 + 4x = 45 + x + -1x Combine like terms: x + -1x = 0 13 + 4x = 45 + 0 13 + 4x = 45 Add '-13' to each side of the equation. 13 + -13 + 4x = 45 + -13 Combine like terms: 13 + -13 = 0 0 + 4x = 45 + -13 4x = 45 + -13 Combine like terms: 45 + -13 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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