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Simplifying 5(x + 3) = 2(2x + 11) Reorder the terms: 5(3 + x) = 2(2x + 11) (3 * 5 + x * 5) = 2(2x + 11) (15 + 5x) = 2(2x + 11) Reorder the terms: 15 + 5x = 2(11 + 2x) 15 + 5x = (11 * 2 + 2x * 2) 15 + 5x = (22 + 4x) Solving 15 + 5x = 22 + 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. 15 + 5x + -4x = 22 + 4x + -4x Combine like terms: 5x + -4x = 1x 15 + 1x = 22 + 4x + -4x Combine like terms: 4x + -4x = 0 15 + 1x = 22 + 0 15 + 1x = 22 Add '-15' to each side of the equation. 15 + -15 + 1x = 22 + -15 Combine like terms: 15 + -15 = 0 0 + 1x = 22 + -15 1x = 22 + -15 Combine like terms: 22 + -15 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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