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Simplifying 7x + -3 = -6(x + 10) + 5(-3 + -3x) Reorder the terms: -3 + 7x = -6(x + 10) + 5(-3 + -3x) Reorder the terms: -3 + 7x = -6(10 + x) + 5(-3 + -3x) -3 + 7x = (10 * -6 + x * -6) + 5(-3 + -3x) -3 + 7x = (-60 + -6x) + 5(-3 + -3x) -3 + 7x = -60 + -6x + (-3 * 5 + -3x * 5) -3 + 7x = -60 + -6x + (-15 + -15x) Reorder the terms: -3 + 7x = -60 + -15 + -6x + -15x Combine like terms: -60 + -15 = -75 -3 + 7x = -75 + -6x + -15x Combine like terms: -6x + -15x = -21x -3 + 7x = -75 + -21x Solving -3 + 7x = -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. -3 + 7x + 21x = -75 + -21x + 21x Combine like terms: 7x + 21x = 28x -3 + 28x = -75 + -21x + 21x Combine like terms: -21x + 21x = 0 -3 + 28x = -75 + 0 -3 + 28x = -75 Add '3' to each side of the equation. -3 + 3 + 28x = -75 + 3 Combine like terms: -3 + 3 = 0 0 + 28x = -75 + 3 28x = -75 + 3 Combine like terms: -75 + 3 = -72 28x = -72 Divide each side by '28'. x = -2.571428571 Simplifying x = -2.571428571
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