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Simplifying 5(2x + -3) + 5(3x + -4) = 16 Reorder the terms: 5(-3 + 2x) + 5(3x + -4) = 16 (-3 * 5 + 2x * 5) + 5(3x + -4) = 16 (-15 + 10x) + 5(3x + -4) = 16 Reorder the terms: -15 + 10x + 5(-4 + 3x) = 16 -15 + 10x + (-4 * 5 + 3x * 5) = 16 -15 + 10x + (-20 + 15x) = 16 Reorder the terms: -15 + -20 + 10x + 15x = 16 Combine like terms: -15 + -20 = -35 -35 + 10x + 15x = 16 Combine like terms: 10x + 15x = 25x -35 + 25x = 16 Solving -35 + 25x = 16 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + 25x = 16 + 35 Combine like terms: -35 + 35 = 0 0 + 25x = 16 + 35 25x = 16 + 35 Combine like terms: 16 + 35 = 51 25x = 51 Divide each side by '25'. x = 2.04 Simplifying x = 2.04
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