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Simplifying -4(2x + -3) + 2 = 3x + 6 Reorder the terms: -4(-3 + 2x) + 2 = 3x + 6 (-3 * -4 + 2x * -4) + 2 = 3x + 6 (12 + -8x) + 2 = 3x + 6 Reorder the terms: 12 + 2 + -8x = 3x + 6 Combine like terms: 12 + 2 = 14 14 + -8x = 3x + 6 Reorder the terms: 14 + -8x = 6 + 3x Solving 14 + -8x = 6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 14 + -8x + -3x = 6 + 3x + -3x Combine like terms: -8x + -3x = -11x 14 + -11x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 14 + -11x = 6 + 0 14 + -11x = 6 Add '-14' to each side of the equation. 14 + -14 + -11x = 6 + -14 Combine like terms: 14 + -14 = 0 0 + -11x = 6 + -14 -11x = 6 + -14 Combine like terms: 6 + -14 = -8 -11x = -8 Divide each side by '-11'. x = 0.7272727273 Simplifying x = 0.7272727273
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