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Simplifying 6x + 3(2x + -5) = 2(5x + -4) + -10x Reorder the terms: 6x + 3(-5 + 2x) = 2(5x + -4) + -10x 6x + (-5 * 3 + 2x * 3) = 2(5x + -4) + -10x 6x + (-15 + 6x) = 2(5x + -4) + -10x Reorder the terms: -15 + 6x + 6x = 2(5x + -4) + -10x Combine like terms: 6x + 6x = 12x -15 + 12x = 2(5x + -4) + -10x Reorder the terms: -15 + 12x = 2(-4 + 5x) + -10x -15 + 12x = (-4 * 2 + 5x * 2) + -10x -15 + 12x = (-8 + 10x) + -10x Combine like terms: 10x + -10x = 0 -15 + 12x = -8 + 0 -15 + 12x = -8 Solving -15 + 12x = -8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 12x = -8 + 15 Combine like terms: -15 + 15 = 0 0 + 12x = -8 + 15 12x = -8 + 15 Combine like terms: -8 + 15 = 7 12x = 7 Divide each side by '12'. x = 0.5833333333 Simplifying x = 0.5833333333
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