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Simplifying 3x + 43 = 5x + -13 Reorder the terms: 43 + 3x = 5x + -13 Reorder the terms: 43 + 3x = -13 + 5x Solving 43 + 3x = -13 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 43 + 3x + -5x = -13 + 5x + -5x Combine like terms: 3x + -5x = -2x 43 + -2x = -13 + 5x + -5x Combine like terms: 5x + -5x = 0 43 + -2x = -13 + 0 43 + -2x = -13 Add '-43' to each side of the equation. 43 + -43 + -2x = -13 + -43 Combine like terms: 43 + -43 = 0 0 + -2x = -13 + -43 -2x = -13 + -43 Combine like terms: -13 + -43 = -56 -2x = -56 Divide each side by '-2'. x = 28 Simplifying x = 28
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