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Simplifying 5(2x + 11) = 7x + 14 Reorder the terms: 5(11 + 2x) = 7x + 14 (11 * 5 + 2x * 5) = 7x + 14 (55 + 10x) = 7x + 14 Reorder the terms: 55 + 10x = 14 + 7x Solving 55 + 10x = 14 + 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. 55 + 10x + -7x = 14 + 7x + -7x Combine like terms: 10x + -7x = 3x 55 + 3x = 14 + 7x + -7x Combine like terms: 7x + -7x = 0 55 + 3x = 14 + 0 55 + 3x = 14 Add '-55' to each side of the equation. 55 + -55 + 3x = 14 + -55 Combine like terms: 55 + -55 = 0 0 + 3x = 14 + -55 3x = 14 + -55 Combine like terms: 14 + -55 = -41 3x = -41 Divide each side by '3'. x = -13.66666667 Simplifying x = -13.66666667
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