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Simplifying -6(x + 1) = -3x + -2 + 9x + -4 Reorder the terms: -6(1 + x) = -3x + -2 + 9x + -4 (1 * -6 + x * -6) = -3x + -2 + 9x + -4 (-6 + -6x) = -3x + -2 + 9x + -4 Reorder the terms: -6 + -6x = -2 + -4 + -3x + 9x Combine like terms: -2 + -4 = -6 -6 + -6x = -6 + -3x + 9x Combine like terms: -3x + 9x = 6x -6 + -6x = -6 + 6x Add '6' to each side of the equation. -6 + 6 + -6x = -6 + 6 + 6x Combine like terms: -6 + 6 = 0 0 + -6x = -6 + 6 + 6x -6x = -6 + 6 + 6x Combine like terms: -6 + 6 = 0 -6x = 0 + 6x -6x = 6x Solving -6x = 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. -6x + -6x = 6x + -6x Combine like terms: -6x + -6x = -12x -12x = 6x + -6x Combine like terms: 6x + -6x = 0 -12x = 0 Divide each side by '-12'. x = 0 Simplifying x = 0
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