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Simplifying 3(2x + 5) = 2(4x + -5) + 3x Reorder the terms: 3(5 + 2x) = 2(4x + -5) + 3x (5 * 3 + 2x * 3) = 2(4x + -5) + 3x (15 + 6x) = 2(4x + -5) + 3x Reorder the terms: 15 + 6x = 2(-5 + 4x) + 3x 15 + 6x = (-5 * 2 + 4x * 2) + 3x 15 + 6x = (-10 + 8x) + 3x Combine like terms: 8x + 3x = 11x 15 + 6x = -10 + 11x Solving 15 + 6x = -10 + 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. 15 + 6x + -11x = -10 + 11x + -11x Combine like terms: 6x + -11x = -5x 15 + -5x = -10 + 11x + -11x Combine like terms: 11x + -11x = 0 15 + -5x = -10 + 0 15 + -5x = -10 Add '-15' to each side of the equation. 15 + -15 + -5x = -10 + -15 Combine like terms: 15 + -15 = 0 0 + -5x = -10 + -15 -5x = -10 + -15 Combine like terms: -10 + -15 = -25 -5x = -25 Divide each side by '-5'. x = 5 Simplifying x = 5
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