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Simplifying 7(x + -7) + 4x = -2(x + 5) Reorder the terms: 7(-7 + x) + 4x = -2(x + 5) (-7 * 7 + x * 7) + 4x = -2(x + 5) (-49 + 7x) + 4x = -2(x + 5) Combine like terms: 7x + 4x = 11x -49 + 11x = -2(x + 5) Reorder the terms: -49 + 11x = -2(5 + x) -49 + 11x = (5 * -2 + x * -2) -49 + 11x = (-10 + -2x) Solving -49 + 11x = -10 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -49 + 11x + 2x = -10 + -2x + 2x Combine like terms: 11x + 2x = 13x -49 + 13x = -10 + -2x + 2x Combine like terms: -2x + 2x = 0 -49 + 13x = -10 + 0 -49 + 13x = -10 Add '49' to each side of the equation. -49 + 49 + 13x = -10 + 49 Combine like terms: -49 + 49 = 0 0 + 13x = -10 + 49 13x = -10 + 49 Combine like terms: -10 + 49 = 39 13x = 39 Divide each side by '13'. x = 3 Simplifying x = 3
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