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Simplifying (x + -6) = -4(2x + -3) Reorder the terms: (-6 + x) = -4(2x + -3) Remove parenthesis around (-6 + x) -6 + x = -4(2x + -3) Reorder the terms: -6 + x = -4(-3 + 2x) -6 + x = (-3 * -4 + 2x * -4) -6 + x = (12 + -8x) Solving -6 + x = 12 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -6 + x + 8x = 12 + -8x + 8x Combine like terms: x + 8x = 9x -6 + 9x = 12 + -8x + 8x Combine like terms: -8x + 8x = 0 -6 + 9x = 12 + 0 -6 + 9x = 12 Add '6' to each side of the equation. -6 + 6 + 9x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 9x = 12 + 6 9x = 12 + 6 Combine like terms: 12 + 6 = 18 9x = 18 Divide each side by '9'. x = 2 Simplifying x = 2
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