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Simplifying -12 + 13x + 27 = -15x + 22 Reorder the terms: -12 + 27 + 13x = -15x + 22 Combine like terms: -12 + 27 = 15 15 + 13x = -15x + 22 Reorder the terms: 15 + 13x = 22 + -15x Solving 15 + 13x = 22 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 15 + 13x + 15x = 22 + -15x + 15x Combine like terms: 13x + 15x = 28x 15 + 28x = 22 + -15x + 15x Combine like terms: -15x + 15x = 0 15 + 28x = 22 + 0 15 + 28x = 22 Add '-15' to each side of the equation. 15 + -15 + 28x = 22 + -15 Combine like terms: 15 + -15 = 0 0 + 28x = 22 + -15 28x = 22 + -15 Combine like terms: 22 + -15 = 7 28x = 7 Divide each side by '28'. x = 0.25 Simplifying x = 0.25
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