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Simplifying 10x + 27 = 2x + 147 Reorder the terms: 27 + 10x = 2x + 147 Reorder the terms: 27 + 10x = 147 + 2x Solving 27 + 10x = 147 + 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 + 10x + -2x = 147 + 2x + -2x Combine like terms: 10x + -2x = 8x 27 + 8x = 147 + 2x + -2x Combine like terms: 2x + -2x = 0 27 + 8x = 147 + 0 27 + 8x = 147 Add '-27' to each side of the equation. 27 + -27 + 8x = 147 + -27 Combine like terms: 27 + -27 = 0 0 + 8x = 147 + -27 8x = 147 + -27 Combine like terms: 147 + -27 = 120 8x = 120 Divide each side by '8'. x = 15 Simplifying x = 15
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