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Simplifying 5x + 30 = 13x + -50 Reorder the terms: 30 + 5x = 13x + -50 Reorder the terms: 30 + 5x = -50 + 13x Solving 30 + 5x = -50 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 30 + 5x + -13x = -50 + 13x + -13x Combine like terms: 5x + -13x = -8x 30 + -8x = -50 + 13x + -13x Combine like terms: 13x + -13x = 0 30 + -8x = -50 + 0 30 + -8x = -50 Add '-30' to each side of the equation. 30 + -30 + -8x = -50 + -30 Combine like terms: 30 + -30 = 0 0 + -8x = -50 + -30 -8x = -50 + -30 Combine like terms: -50 + -30 = -80 -8x = -80 Divide each side by '-8'. x = 10 Simplifying x = 10
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