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Simplifying 5(3x + 4) = 4x + 9 Reorder the terms: 5(4 + 3x) = 4x + 9 (4 * 5 + 3x * 5) = 4x + 9 (20 + 15x) = 4x + 9 Reorder the terms: 20 + 15x = 9 + 4x Solving 20 + 15x = 9 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 20 + 15x + -4x = 9 + 4x + -4x Combine like terms: 15x + -4x = 11x 20 + 11x = 9 + 4x + -4x Combine like terms: 4x + -4x = 0 20 + 11x = 9 + 0 20 + 11x = 9 Add '-20' to each side of the equation. 20 + -20 + 11x = 9 + -20 Combine like terms: 20 + -20 = 0 0 + 11x = 9 + -20 11x = 9 + -20 Combine like terms: 9 + -20 = -11 11x = -11 Divide each side by '11'. x = -1 Simplifying x = -1
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