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Simplifying 5(3x + 9) = 7x + 11 Reorder the terms: 5(9 + 3x) = 7x + 11 (9 * 5 + 3x * 5) = 7x + 11 (45 + 15x) = 7x + 11 Reorder the terms: 45 + 15x = 11 + 7x Solving 45 + 15x = 11 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 45 + 15x + -7x = 11 + 7x + -7x Combine like terms: 15x + -7x = 8x 45 + 8x = 11 + 7x + -7x Combine like terms: 7x + -7x = 0 45 + 8x = 11 + 0 45 + 8x = 11 Add '-45' to each side of the equation. 45 + -45 + 8x = 11 + -45 Combine like terms: 45 + -45 = 0 0 + 8x = 11 + -45 8x = 11 + -45 Combine like terms: 11 + -45 = -34 8x = -34 Divide each side by '8'. x = -4.25 Simplifying x = -4.25
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