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Simplifying 7x + -3x = -6(x + 10) + 5(-3 + -3x) Combine like terms: 7x + -3x = 4x 4x = -6(x + 10) + 5(-3 + -3x) Reorder the terms: 4x = -6(10 + x) + 5(-3 + -3x) 4x = (10 * -6 + x * -6) + 5(-3 + -3x) 4x = (-60 + -6x) + 5(-3 + -3x) 4x = -60 + -6x + (-3 * 5 + -3x * 5) 4x = -60 + -6x + (-15 + -15x) Reorder the terms: 4x = -60 + -15 + -6x + -15x Combine like terms: -60 + -15 = -75 4x = -75 + -6x + -15x Combine like terms: -6x + -15x = -21x 4x = -75 + -21x Solving 4x = -75 + -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. 4x + 21x = -75 + -21x + 21x Combine like terms: 4x + 21x = 25x 25x = -75 + -21x + 21x Combine like terms: -21x + 21x = 0 25x = -75 + 0 25x = -75 Divide each side by '25'. x = -3 Simplifying x = -3
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