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Simplifying 7 + 5(x + -2) = 3 + -7(x + -4) Reorder the terms: 7 + 5(-2 + x) = 3 + -7(x + -4) 7 + (-2 * 5 + x * 5) = 3 + -7(x + -4) 7 + (-10 + 5x) = 3 + -7(x + -4) Combine like terms: 7 + -10 = -3 -3 + 5x = 3 + -7(x + -4) Reorder the terms: -3 + 5x = 3 + -7(-4 + x) -3 + 5x = 3 + (-4 * -7 + x * -7) -3 + 5x = 3 + (28 + -7x) Combine like terms: 3 + 28 = 31 -3 + 5x = 31 + -7x Solving -3 + 5x = 31 + -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. -3 + 5x + 7x = 31 + -7x + 7x Combine like terms: 5x + 7x = 12x -3 + 12x = 31 + -7x + 7x Combine like terms: -7x + 7x = 0 -3 + 12x = 31 + 0 -3 + 12x = 31 Add '3' to each side of the equation. -3 + 3 + 12x = 31 + 3 Combine like terms: -3 + 3 = 0 0 + 12x = 31 + 3 12x = 31 + 3 Combine like terms: 31 + 3 = 34 12x = 34 Divide each side by '12'. x = 2.833333333 Simplifying x = 2.833333333
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