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Simplifying 4(3x + -5) + -2x = 5x + 10 Reorder the terms: 4(-5 + 3x) + -2x = 5x + 10 (-5 * 4 + 3x * 4) + -2x = 5x + 10 (-20 + 12x) + -2x = 5x + 10 Combine like terms: 12x + -2x = 10x -20 + 10x = 5x + 10 Reorder the terms: -20 + 10x = 10 + 5x Solving -20 + 10x = 10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -20 + 10x + -5x = 10 + 5x + -5x Combine like terms: 10x + -5x = 5x -20 + 5x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 -20 + 5x = 10 + 0 -20 + 5x = 10 Add '20' to each side of the equation. -20 + 20 + 5x = 10 + 20 Combine like terms: -20 + 20 = 0 0 + 5x = 10 + 20 5x = 10 + 20 Combine like terms: 10 + 20 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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