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Simplifying 5x + -13 = x + 35 Reorder the terms: -13 + 5x = x + 35 Reorder the terms: -13 + 5x = 35 + x Solving -13 + 5x = 35 + 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 = 35 + x + -1x Combine like terms: 5x + -1x = 4x -13 + 4x = 35 + x + -1x Combine like terms: x + -1x = 0 -13 + 4x = 35 + 0 -13 + 4x = 35 Add '13' to each side of the equation. -13 + 13 + 4x = 35 + 13 Combine like terms: -13 + 13 = 0 0 + 4x = 35 + 13 4x = 35 + 13 Combine like terms: 35 + 13 = 48 4x = 48 Divide each side by '4'. x = 12 Simplifying x = 12
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