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Simplifying x + -7(x + 4) = 5x + -6(3 + -4x) Reorder the terms: x + -7(4 + x) = 5x + -6(3 + -4x) x + (4 * -7 + x * -7) = 5x + -6(3 + -4x) x + (-28 + -7x) = 5x + -6(3 + -4x) Reorder the terms: -28 + x + -7x = 5x + -6(3 + -4x) Combine like terms: x + -7x = -6x -28 + -6x = 5x + -6(3 + -4x) -28 + -6x = 5x + (3 * -6 + -4x * -6) -28 + -6x = 5x + (-18 + 24x) Reorder the terms: -28 + -6x = -18 + 5x + 24x Combine like terms: 5x + 24x = 29x -28 + -6x = -18 + 29x Solving -28 + -6x = -18 + 29x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29x' to each side of the equation. -28 + -6x + -29x = -18 + 29x + -29x Combine like terms: -6x + -29x = -35x -28 + -35x = -18 + 29x + -29x Combine like terms: 29x + -29x = 0 -28 + -35x = -18 + 0 -28 + -35x = -18 Add '28' to each side of the equation. -28 + 28 + -35x = -18 + 28 Combine like terms: -28 + 28 = 0 0 + -35x = -18 + 28 -35x = -18 + 28 Combine like terms: -18 + 28 = 10 -35x = 10 Divide each side by '-35'. x = -0.2857142857 Simplifying x = -0.2857142857
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