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Simplifying 5(3x + 5) = 14x + 1 Reorder the terms: 5(5 + 3x) = 14x + 1 (5 * 5 + 3x * 5) = 14x + 1 (25 + 15x) = 14x + 1 Reorder the terms: 25 + 15x = 1 + 14x Solving 25 + 15x = 1 + 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. 25 + 15x + -14x = 1 + 14x + -14x Combine like terms: 15x + -14x = 1x 25 + 1x = 1 + 14x + -14x Combine like terms: 14x + -14x = 0 25 + 1x = 1 + 0 25 + 1x = 1 Add '-25' to each side of the equation. 25 + -25 + 1x = 1 + -25 Combine like terms: 25 + -25 = 0 0 + 1x = 1 + -25 1x = 1 + -25 Combine like terms: 1 + -25 = -24 1x = -24 Divide each side by '1'. x = -24 Simplifying x = -24
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