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Simplifying -2 + -4(x + 5) + 8 = 3(x + -6) Reorder the terms: -2 + -4(5 + x) + 8 = 3(x + -6) -2 + (5 * -4 + x * -4) + 8 = 3(x + -6) -2 + (-20 + -4x) + 8 = 3(x + -6) Reorder the terms: -2 + -20 + 8 + -4x = 3(x + -6) Combine like terms: -2 + -20 = -22 -22 + 8 + -4x = 3(x + -6) Combine like terms: -22 + 8 = -14 -14 + -4x = 3(x + -6) Reorder the terms: -14 + -4x = 3(-6 + x) -14 + -4x = (-6 * 3 + x * 3) -14 + -4x = (-18 + 3x) Solving -14 + -4x = -18 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -14 + -4x + -3x = -18 + 3x + -3x Combine like terms: -4x + -3x = -7x -14 + -7x = -18 + 3x + -3x Combine like terms: 3x + -3x = 0 -14 + -7x = -18 + 0 -14 + -7x = -18 Add '14' to each side of the equation. -14 + 14 + -7x = -18 + 14 Combine like terms: -14 + 14 = 0 0 + -7x = -18 + 14 -7x = -18 + 14 Combine like terms: -18 + 14 = -4 -7x = -4 Divide each side by '-7'. x = 0.5714285714 Simplifying x = 0.5714285714
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