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Simplifying 3(2x + -10) + -5(3 + -2x) = 3 Reorder the terms: 3(-10 + 2x) + -5(3 + -2x) = 3 (-10 * 3 + 2x * 3) + -5(3 + -2x) = 3 (-30 + 6x) + -5(3 + -2x) = 3 -30 + 6x + (3 * -5 + -2x * -5) = 3 -30 + 6x + (-15 + 10x) = 3 Reorder the terms: -30 + -15 + 6x + 10x = 3 Combine like terms: -30 + -15 = -45 -45 + 6x + 10x = 3 Combine like terms: 6x + 10x = 16x -45 + 16x = 3 Solving -45 + 16x = 3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + 16x = 3 + 45 Combine like terms: -45 + 45 = 0 0 + 16x = 3 + 45 16x = 3 + 45 Combine like terms: 3 + 45 = 48 16x = 48 Divide each side by '16'. x = 3 Simplifying x = 3
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