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Simplifying 5(3x + -2) = 10x + 35 Reorder the terms: 5(-2 + 3x) = 10x + 35 (-2 * 5 + 3x * 5) = 10x + 35 (-10 + 15x) = 10x + 35 Reorder the terms: -10 + 15x = 35 + 10x Solving -10 + 15x = 35 + 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 = 35 + 10x + -10x Combine like terms: 15x + -10x = 5x -10 + 5x = 35 + 10x + -10x Combine like terms: 10x + -10x = 0 -10 + 5x = 35 + 0 -10 + 5x = 35 Add '10' to each side of the equation. -10 + 10 + 5x = 35 + 10 Combine like terms: -10 + 10 = 0 0 + 5x = 35 + 10 5x = 35 + 10 Combine like terms: 35 + 10 = 45 5x = 45 Divide each side by '5'. x = 9 Simplifying x = 9
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