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Simplifying x + -7(x + -7 + x + -5) = 4(2 + 4) Reorder the terms: x + -7(-7 + -5 + x + x) = 4(2 + 4) Combine like terms: -7 + -5 = -12 x + -7(-12 + x + x) = 4(2 + 4) Combine like terms: x + x = 2x x + -7(-12 + 2x) = 4(2 + 4) x + (-12 * -7 + 2x * -7) = 4(2 + 4) x + (84 + -14x) = 4(2 + 4) Reorder the terms: 84 + x + -14x = 4(2 + 4) Combine like terms: x + -14x = -13x 84 + -13x = 4(2 + 4) Combine like terms: 2 + 4 = 6 84 + -13x = 4(6) Multiply 4 * 6 84 + -13x = 24 Solving 84 + -13x = 24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-84' to each side of the equation. 84 + -84 + -13x = 24 + -84 Combine like terms: 84 + -84 = 0 0 + -13x = 24 + -84 -13x = 24 + -84 Combine like terms: 24 + -84 = -60 -13x = -60 Divide each side by '-13'. x = 4.615384615 Simplifying x = 4.615384615
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