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Simplifying 15x + 27 = 2x + 40 Reorder the terms: 27 + 15x = 2x + 40 Reorder the terms: 27 + 15x = 40 + 2x Solving 27 + 15x = 40 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 27 + 15x + -2x = 40 + 2x + -2x Combine like terms: 15x + -2x = 13x 27 + 13x = 40 + 2x + -2x Combine like terms: 2x + -2x = 0 27 + 13x = 40 + 0 27 + 13x = 40 Add '-27' to each side of the equation. 27 + -27 + 13x = 40 + -27 Combine like terms: 27 + -27 = 0 0 + 13x = 40 + -27 13x = 40 + -27 Combine like terms: 40 + -27 = 13 13x = 13 Divide each side by '13'. x = 1 Simplifying x = 1
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