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Simplifying 3x + 2(x + -5) = 14x + -7(3x + -5) Reorder the terms: 3x + 2(-5 + x) = 14x + -7(3x + -5) 3x + (-5 * 2 + x * 2) = 14x + -7(3x + -5) 3x + (-10 + 2x) = 14x + -7(3x + -5) Reorder the terms: -10 + 3x + 2x = 14x + -7(3x + -5) Combine like terms: 3x + 2x = 5x -10 + 5x = 14x + -7(3x + -5) Reorder the terms: -10 + 5x = 14x + -7(-5 + 3x) -10 + 5x = 14x + (-5 * -7 + 3x * -7) -10 + 5x = 14x + (35 + -21x) Reorder the terms: -10 + 5x = 35 + 14x + -21x Combine like terms: 14x + -21x = -7x -10 + 5x = 35 + -7x Solving -10 + 5x = 35 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -10 + 5x + 7x = 35 + -7x + 7x Combine like terms: 5x + 7x = 12x -10 + 12x = 35 + -7x + 7x Combine like terms: -7x + 7x = 0 -10 + 12x = 35 + 0 -10 + 12x = 35 Add '10' to each side of the equation. -10 + 10 + 12x = 35 + 10 Combine like terms: -10 + 10 = 0 0 + 12x = 35 + 10 12x = 35 + 10 Combine like terms: 35 + 10 = 45 12x = 45 Divide each side by '12'. x = 3.75 Simplifying x = 3.75
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