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Simplifying (3x + 5) * 2 = (4x + -5) Reorder the terms: (5 + 3x) * 2 = (4x + -5) Reorder the terms for easier multiplication: 2(5 + 3x) = (4x + -5) (5 * 2 + 3x * 2) = (4x + -5) (10 + 6x) = (4x + -5) Reorder the terms: 10 + 6x = (-5 + 4x) Remove parenthesis around (-5 + 4x) 10 + 6x = -5 + 4x Solving 10 + 6x = -5 + 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. 10 + 6x + -4x = -5 + 4x + -4x Combine like terms: 6x + -4x = 2x 10 + 2x = -5 + 4x + -4x Combine like terms: 4x + -4x = 0 10 + 2x = -5 + 0 10 + 2x = -5 Add '-10' to each side of the equation. 10 + -10 + 2x = -5 + -10 Combine like terms: 10 + -10 = 0 0 + 2x = -5 + -10 2x = -5 + -10 Combine like terms: -5 + -10 = -15 2x = -15 Divide each side by '2'. x = -7.5 Simplifying x = -7.5
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