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Simplifying 7(x + 4) = -6(2x + -6) + 7x Reorder the terms: 7(4 + x) = -6(2x + -6) + 7x (4 * 7 + x * 7) = -6(2x + -6) + 7x (28 + 7x) = -6(2x + -6) + 7x Reorder the terms: 28 + 7x = -6(-6 + 2x) + 7x 28 + 7x = (-6 * -6 + 2x * -6) + 7x 28 + 7x = (36 + -12x) + 7x Combine like terms: -12x + 7x = -5x 28 + 7x = 36 + -5x Solving 28 + 7x = 36 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 28 + 7x + 5x = 36 + -5x + 5x Combine like terms: 7x + 5x = 12x 28 + 12x = 36 + -5x + 5x Combine like terms: -5x + 5x = 0 28 + 12x = 36 + 0 28 + 12x = 36 Add '-28' to each side of the equation. 28 + -28 + 12x = 36 + -28 Combine like terms: 28 + -28 = 0 0 + 12x = 36 + -28 12x = 36 + -28 Combine like terms: 36 + -28 = 8 12x = 8 Divide each side by '12'. x = 0.6666666667 Simplifying x = 0.6666666667
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