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Simplifying 5(x + 4) = -2(7x + -3) + 7x Reorder the terms: 5(4 + x) = -2(7x + -3) + 7x (4 * 5 + x * 5) = -2(7x + -3) + 7x (20 + 5x) = -2(7x + -3) + 7x Reorder the terms: 20 + 5x = -2(-3 + 7x) + 7x 20 + 5x = (-3 * -2 + 7x * -2) + 7x 20 + 5x = (6 + -14x) + 7x Combine like terms: -14x + 7x = -7x 20 + 5x = 6 + -7x Solving 20 + 5x = 6 + -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. 20 + 5x + 7x = 6 + -7x + 7x Combine like terms: 5x + 7x = 12x 20 + 12x = 6 + -7x + 7x Combine like terms: -7x + 7x = 0 20 + 12x = 6 + 0 20 + 12x = 6 Add '-20' to each side of the equation. 20 + -20 + 12x = 6 + -20 Combine like terms: 20 + -20 = 0 0 + 12x = 6 + -20 12x = 6 + -20 Combine like terms: 6 + -20 = -14 12x = -14 Divide each side by '12'. x = -1.166666667 Simplifying x = -1.166666667
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