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Simplifying 4(x + -4) + -6 = 14x + -82 Reorder the terms: 4(-4 + x) + -6 = 14x + -82 (-4 * 4 + x * 4) + -6 = 14x + -82 (-16 + 4x) + -6 = 14x + -82 Reorder the terms: -16 + -6 + 4x = 14x + -82 Combine like terms: -16 + -6 = -22 -22 + 4x = 14x + -82 Reorder the terms: -22 + 4x = -82 + 14x Solving -22 + 4x = -82 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -22 + 4x + -14x = -82 + 14x + -14x Combine like terms: 4x + -14x = -10x -22 + -10x = -82 + 14x + -14x Combine like terms: 14x + -14x = 0 -22 + -10x = -82 + 0 -22 + -10x = -82 Add '22' to each side of the equation. -22 + 22 + -10x = -82 + 22 Combine like terms: -22 + 22 = 0 0 + -10x = -82 + 22 -10x = -82 + 22 Combine like terms: -82 + 22 = -60 -10x = -60 Divide each side by '-10'. x = 6 Simplifying x = 6
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