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Simplifying 3x + 4(x + -20) = 3(4x + 10) Reorder the terms: 3x + 4(-20 + x) = 3(4x + 10) 3x + (-20 * 4 + x * 4) = 3(4x + 10) 3x + (-80 + 4x) = 3(4x + 10) Reorder the terms: -80 + 3x + 4x = 3(4x + 10) Combine like terms: 3x + 4x = 7x -80 + 7x = 3(4x + 10) Reorder the terms: -80 + 7x = 3(10 + 4x) -80 + 7x = (10 * 3 + 4x * 3) -80 + 7x = (30 + 12x) Solving -80 + 7x = 30 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -80 + 7x + -12x = 30 + 12x + -12x Combine like terms: 7x + -12x = -5x -80 + -5x = 30 + 12x + -12x Combine like terms: 12x + -12x = 0 -80 + -5x = 30 + 0 -80 + -5x = 30 Add '80' to each side of the equation. -80 + 80 + -5x = 30 + 80 Combine like terms: -80 + 80 = 0 0 + -5x = 30 + 80 -5x = 30 + 80 Combine like terms: 30 + 80 = 110 -5x = 110 Divide each side by '-5'. x = -22 Simplifying x = -22
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