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Simplifying 5(1 + 4x) + -3x = -9 + 3x (1 * 5 + 4x * 5) + -3x = -9 + 3x (5 + 20x) + -3x = -9 + 3x Combine like terms: 20x + -3x = 17x 5 + 17x = -9 + 3x Solving 5 + 17x = -9 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 5 + 17x + -3x = -9 + 3x + -3x Combine like terms: 17x + -3x = 14x 5 + 14x = -9 + 3x + -3x Combine like terms: 3x + -3x = 0 5 + 14x = -9 + 0 5 + 14x = -9 Add '-5' to each side of the equation. 5 + -5 + 14x = -9 + -5 Combine like terms: 5 + -5 = 0 0 + 14x = -9 + -5 14x = -9 + -5 Combine like terms: -9 + -5 = -14 14x = -14 Divide each side by '14'. x = -1 Simplifying x = -1
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