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Simplifying 4x + -79x + -6 + -3x = 15 + 4x + -7 Reorder the terms: -6 + 4x + -79x + -3x = 15 + 4x + -7 Combine like terms: 4x + -79x = -75x -6 + -75x + -3x = 15 + 4x + -7 Combine like terms: -75x + -3x = -78x -6 + -78x = 15 + 4x + -7 Reorder the terms: -6 + -78x = 15 + -7 + 4x Combine like terms: 15 + -7 = 8 -6 + -78x = 8 + 4x Solving -6 + -78x = 8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -6 + -78x + -4x = 8 + 4x + -4x Combine like terms: -78x + -4x = -82x -6 + -82x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + -82x = 8 + 0 -6 + -82x = 8 Add '6' to each side of the equation. -6 + 6 + -82x = 8 + 6 Combine like terms: -6 + 6 = 0 0 + -82x = 8 + 6 -82x = 8 + 6 Combine like terms: 8 + 6 = 14 -82x = 14 Divide each side by '-82'. x = -0.1707317073 Simplifying x = -0.1707317073
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