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Simplifying 3(5 + x) = 2(2x + 11) (5 * 3 + x * 3) = 2(2x + 11) (15 + 3x) = 2(2x + 11) Reorder the terms: 15 + 3x = 2(11 + 2x) 15 + 3x = (11 * 2 + 2x * 2) 15 + 3x = (22 + 4x) Solving 15 + 3x = 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 + 3x + -4x = 22 + 4x + -4x Combine like terms: 3x + -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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