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Simplifying 3x + 23 = 13x + -27 Reorder the terms: 23 + 3x = 13x + -27 Reorder the terms: 23 + 3x = -27 + 13x Solving 23 + 3x = -27 + 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. 23 + 3x + -13x = -27 + 13x + -13x Combine like terms: 3x + -13x = -10x 23 + -10x = -27 + 13x + -13x Combine like terms: 13x + -13x = 0 23 + -10x = -27 + 0 23 + -10x = -27 Add '-23' to each side of the equation. 23 + -23 + -10x = -27 + -23 Combine like terms: 23 + -23 = 0 0 + -10x = -27 + -23 -10x = -27 + -23 Combine like terms: -27 + -23 = -50 -10x = -50 Divide each side by '-10'. x = 5 Simplifying x = 5
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