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Simplifying 5x + 13 = 4x + 18 Reorder the terms: 13 + 5x = 4x + 18 Reorder the terms: 13 + 5x = 18 + 4x Solving 13 + 5x = 18 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 13 + 5x + -4x = 18 + 4x + -4x Combine like terms: 5x + -4x = 1x 13 + 1x = 18 + 4x + -4x Combine like terms: 4x + -4x = 0 13 + 1x = 18 + 0 13 + 1x = 18 Add '-13' to each side of the equation. 13 + -13 + 1x = 18 + -13 Combine like terms: 13 + -13 = 0 0 + 1x = 18 + -13 1x = 18 + -13 Combine like terms: 18 + -13 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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