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Simplifying (-1x + -4) = 6(9 + 6x) + -206 Reorder the terms: (-4 + -1x) = 6(9 + 6x) + -206 Remove parenthesis around (-4 + -1x) -4 + -1x = 6(9 + 6x) + -206 -4 + -1x = (9 * 6 + 6x * 6) + -206 -4 + -1x = (54 + 36x) + -206 Reorder the terms: -4 + -1x = 54 + -206 + 36x Combine like terms: 54 + -206 = -152 -4 + -1x = -152 + 36x Solving -4 + -1x = -152 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. -4 + -1x + -36x = -152 + 36x + -36x Combine like terms: -1x + -36x = -37x -4 + -37x = -152 + 36x + -36x Combine like terms: 36x + -36x = 0 -4 + -37x = -152 + 0 -4 + -37x = -152 Add '4' to each side of the equation. -4 + 4 + -37x = -152 + 4 Combine like terms: -4 + 4 = 0 0 + -37x = -152 + 4 -37x = -152 + 4 Combine like terms: -152 + 4 = -148 -37x = -148 Divide each side by '-37'. x = 4 Simplifying x = 4
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