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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 = 56 8x = 56 Divide each side by '8'. x = 7 Simplifying x = 7
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