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Simplifying 5x + -13 = 3x + 53 Reorder the terms: -13 + 5x = 3x + 53 Reorder the terms: -13 + 5x = 53 + 3x Solving -13 + 5x = 53 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -13 + 5x + -3x = 53 + 3x + -3x Combine like terms: 5x + -3x = 2x -13 + 2x = 53 + 3x + -3x Combine like terms: 3x + -3x = 0 -13 + 2x = 53 + 0 -13 + 2x = 53 Add '13' to each side of the equation. -13 + 13 + 2x = 53 + 13 Combine like terms: -13 + 13 = 0 0 + 2x = 53 + 13 2x = 53 + 13 Combine like terms: 53 + 13 = 66 2x = 66 Divide each side by '2'. x = 33 Simplifying x = 33
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