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Simplifying -4(x + 2) = 2x + -6 + 3(4x + 2) Reorder the terms: -4(2 + x) = 2x + -6 + 3(4x + 2) (2 * -4 + x * -4) = 2x + -6 + 3(4x + 2) (-8 + -4x) = 2x + -6 + 3(4x + 2) Reorder the terms: -8 + -4x = 2x + -6 + 3(2 + 4x) -8 + -4x = 2x + -6 + (2 * 3 + 4x * 3) -8 + -4x = 2x + -6 + (6 + 12x) Reorder the terms: -8 + -4x = -6 + 6 + 2x + 12x Combine like terms: -6 + 6 = 0 -8 + -4x = 0 + 2x + 12x -8 + -4x = 2x + 12x Combine like terms: 2x + 12x = 14x -8 + -4x = 14x Solving -8 + -4x = 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -8 + -4x + -14x = 14x + -14x Combine like terms: -4x + -14x = -18x -8 + -18x = 14x + -14x Combine like terms: 14x + -14x = 0 -8 + -18x = 0 Add '8' to each side of the equation. -8 + 8 + -18x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -18x = 0 + 8 -18x = 0 + 8 Combine like terms: 0 + 8 = 8 -18x = 8 Divide each side by '-18'. x = -0.4444444444 Simplifying x = -0.4444444444
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