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Simplifying 5x + 13 = -35 + 3x Reorder the terms: 13 + 5x = -35 + 3x Solving 13 + 5x = -35 + 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 = -35 + 3x + -3x Combine like terms: 5x + -3x = 2x 13 + 2x = -35 + 3x + -3x Combine like terms: 3x + -3x = 0 13 + 2x = -35 + 0 13 + 2x = -35 Add '-13' to each side of the equation. 13 + -13 + 2x = -35 + -13 Combine like terms: 13 + -13 = 0 0 + 2x = -35 + -13 2x = -35 + -13 Combine like terms: -35 + -13 = -48 2x = -48 Divide each side by '2'. x = -24 Simplifying x = -24
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