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Simplifying 10x + 15 + 27 = 14x + 2 Reorder the terms: 15 + 27 + 10x = 14x + 2 Combine like terms: 15 + 27 = 42 42 + 10x = 14x + 2 Reorder the terms: 42 + 10x = 2 + 14x Solving 42 + 10x = 2 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 42 + 10x + -14x = 2 + 14x + -14x Combine like terms: 10x + -14x = -4x 42 + -4x = 2 + 14x + -14x Combine like terms: 14x + -14x = 0 42 + -4x = 2 + 0 42 + -4x = 2 Add '-42' to each side of the equation. 42 + -42 + -4x = 2 + -42 Combine like terms: 42 + -42 = 0 0 + -4x = 2 + -42 -4x = 2 + -42 Combine like terms: 2 + -42 = -40 -4x = -40 Divide each side by '-4'. x = 10 Simplifying x = 10
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