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Simplifying -4(x + -2) + -3x + 6 = 4x + -12 Reorder the terms: -4(-2 + x) + -3x + 6 = 4x + -12 (-2 * -4 + x * -4) + -3x + 6 = 4x + -12 (8 + -4x) + -3x + 6 = 4x + -12 Reorder the terms: 8 + 6 + -4x + -3x = 4x + -12 Combine like terms: 8 + 6 = 14 14 + -4x + -3x = 4x + -12 Combine like terms: -4x + -3x = -7x 14 + -7x = 4x + -12 Reorder the terms: 14 + -7x = -12 + 4x Solving 14 + -7x = -12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 14 + -7x + -4x = -12 + 4x + -4x Combine like terms: -7x + -4x = -11x 14 + -11x = -12 + 4x + -4x Combine like terms: 4x + -4x = 0 14 + -11x = -12 + 0 14 + -11x = -12 Add '-14' to each side of the equation. 14 + -14 + -11x = -12 + -14 Combine like terms: 14 + -14 = 0 0 + -11x = -12 + -14 -11x = -12 + -14 Combine like terms: -12 + -14 = -26 -11x = -26 Divide each side by '-11'. x = 2.363636364 Simplifying x = 2.363636364
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