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