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Simplifying 3(2x + 5) = 14x + 7 Reorder the terms: 3(5 + 2x) = 14x + 7 (5 * 3 + 2x * 3) = 14x + 7 (15 + 6x) = 14x + 7 Reorder the terms: 15 + 6x = 7 + 14x Solving 15 + 6x = 7 + 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. 15 + 6x + -14x = 7 + 14x + -14x Combine like terms: 6x + -14x = -8x 15 + -8x = 7 + 14x + -14x Combine like terms: 14x + -14x = 0 15 + -8x = 7 + 0 15 + -8x = 7 Add '-15' to each side of the equation. 15 + -15 + -8x = 7 + -15 Combine like terms: 15 + -15 = 0 0 + -8x = 7 + -15 -8x = 7 + -15 Combine like terms: 7 + -15 = -8 -8x = -8 Divide each side by '-8'. x = 1 Simplifying x = 1
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