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Simplifying 4(x + 6) + 2 = -7(x + -5) Reorder the terms: 4(6 + x) + 2 = -7(x + -5) (6 * 4 + x * 4) + 2 = -7(x + -5) (24 + 4x) + 2 = -7(x + -5) Reorder the terms: 24 + 2 + 4x = -7(x + -5) Combine like terms: 24 + 2 = 26 26 + 4x = -7(x + -5) Reorder the terms: 26 + 4x = -7(-5 + x) 26 + 4x = (-5 * -7 + x * -7) 26 + 4x = (35 + -7x) Solving 26 + 4x = 35 + -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. 26 + 4x + 7x = 35 + -7x + 7x Combine like terms: 4x + 7x = 11x 26 + 11x = 35 + -7x + 7x Combine like terms: -7x + 7x = 0 26 + 11x = 35 + 0 26 + 11x = 35 Add '-26' to each side of the equation. 26 + -26 + 11x = 35 + -26 Combine like terms: 26 + -26 = 0 0 + 11x = 35 + -26 11x = 35 + -26 Combine like terms: 35 + -26 = 9 11x = 9 Divide each side by '11'. x = 0.8181818182 Simplifying x = 0.8181818182
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