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Simplifying (5x + 3) * 2 = (11x + -15) Reorder the terms: (3 + 5x) * 2 = (11x + -15) Reorder the terms for easier multiplication: 2(3 + 5x) = (11x + -15) (3 * 2 + 5x * 2) = (11x + -15) (6 + 10x) = (11x + -15) Reorder the terms: 6 + 10x = (-15 + 11x) Remove parenthesis around (-15 + 11x) 6 + 10x = -15 + 11x Solving 6 + 10x = -15 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 6 + 10x + -11x = -15 + 11x + -11x Combine like terms: 10x + -11x = -1x 6 + -1x = -15 + 11x + -11x Combine like terms: 11x + -11x = 0 6 + -1x = -15 + 0 6 + -1x = -15 Add '-6' to each side of the equation. 6 + -6 + -1x = -15 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = -15 + -6 -1x = -15 + -6 Combine like terms: -15 + -6 = -21 -1x = -21 Divide each side by '-1'. x = 21 Simplifying x = 21
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