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Simplifying -2(2x + -6) = 3(3x + -0.333) Reorder the terms: -2(-6 + 2x) = 3(3x + -0.333) (-6 * -2 + 2x * -2) = 3(3x + -0.333) (12 + -4x) = 3(3x + -0.333) Reorder the terms: 12 + -4x = 3(-0.333 + 3x) 12 + -4x = (-0.333 * 3 + 3x * 3) 12 + -4x = (-0.999 + 9x) Solving 12 + -4x = -0.999 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 12 + -4x + -9x = -0.999 + 9x + -9x Combine like terms: -4x + -9x = -13x 12 + -13x = -0.999 + 9x + -9x Combine like terms: 9x + -9x = 0 12 + -13x = -0.999 + 0 12 + -13x = -0.999 Add '-12' to each side of the equation. 12 + -12 + -13x = -0.999 + -12 Combine like terms: 12 + -12 = 0 0 + -13x = -0.999 + -12 -13x = -0.999 + -12 Combine like terms: -0.999 + -12 = -12.999 -13x = -12.999 Divide each side by '-13'. x = 0.9999230769 Simplifying x = 0.9999230769
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