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Simplifying 3x + 23 = 5x + -47 Reorder the terms: 23 + 3x = 5x + -47 Reorder the terms: 23 + 3x = -47 + 5x Solving 23 + 3x = -47 + 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. 23 + 3x + -5x = -47 + 5x + -5x Combine like terms: 3x + -5x = -2x 23 + -2x = -47 + 5x + -5x Combine like terms: 5x + -5x = 0 23 + -2x = -47 + 0 23 + -2x = -47 Add '-23' to each side of the equation. 23 + -23 + -2x = -47 + -23 Combine like terms: 23 + -23 = 0 0 + -2x = -47 + -23 -2x = -47 + -23 Combine like terms: -47 + -23 = -70 -2x = -70 Divide each side by '-2'. x = 35 Simplifying x = 35
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