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Simplifying 5(3x + -2) = 102.5 + -10x Reorder the terms: 5(-2 + 3x) = 102.5 + -10x (-2 * 5 + 3x * 5) = 102.5 + -10x (-10 + 15x) = 102.5 + -10x Solving -10 + 15x = 102.5 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -10 + 15x + 10x = 102.5 + -10x + 10x Combine like terms: 15x + 10x = 25x -10 + 25x = 102.5 + -10x + 10x Combine like terms: -10x + 10x = 0 -10 + 25x = 102.5 + 0 -10 + 25x = 102.5 Add '10' to each side of the equation. -10 + 10 + 25x = 102.5 + 10 Combine like terms: -10 + 10 = 0 0 + 25x = 102.5 + 10 25x = 102.5 + 10 Combine like terms: 102.5 + 10 = 112.5 25x = 112.5 Divide each side by '25'. x = 4.5 Simplifying x = 4.5
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