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Simplifying -7(x + -4) + 2 = 4(x + 5) Reorder the terms: -7(-4 + x) + 2 = 4(x + 5) (-4 * -7 + x * -7) + 2 = 4(x + 5) (28 + -7x) + 2 = 4(x + 5) Reorder the terms: 28 + 2 + -7x = 4(x + 5) Combine like terms: 28 + 2 = 30 30 + -7x = 4(x + 5) Reorder the terms: 30 + -7x = 4(5 + x) 30 + -7x = (5 * 4 + x * 4) 30 + -7x = (20 + 4x) Solving 30 + -7x = 20 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 30 + -7x + -4x = 20 + 4x + -4x Combine like terms: -7x + -4x = -11x 30 + -11x = 20 + 4x + -4x Combine like terms: 4x + -4x = 0 30 + -11x = 20 + 0 30 + -11x = 20 Add '-30' to each side of the equation. 30 + -30 + -11x = 20 + -30 Combine like terms: 30 + -30 = 0 0 + -11x = 20 + -30 -11x = 20 + -30 Combine like terms: 20 + -30 = -10 -11x = -10 Divide each side by '-11'. x = 0.9090909091 Simplifying x = 0.9090909091
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