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Simplifying -2(x + 2) = 6x + -2 + 2(3x + 3) Reorder the terms: -2(2 + x) = 6x + -2 + 2(3x + 3) (2 * -2 + x * -2) = 6x + -2 + 2(3x + 3) (-4 + -2x) = 6x + -2 + 2(3x + 3) Reorder the terms: -4 + -2x = 6x + -2 + 2(3 + 3x) -4 + -2x = 6x + -2 + (3 * 2 + 3x * 2) -4 + -2x = 6x + -2 + (6 + 6x) Reorder the terms: -4 + -2x = -2 + 6 + 6x + 6x Combine like terms: -2 + 6 = 4 -4 + -2x = 4 + 6x + 6x Combine like terms: 6x + 6x = 12x -4 + -2x = 4 + 12x Solving -4 + -2x = 4 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -4 + -2x + -12x = 4 + 12x + -12x Combine like terms: -2x + -12x = -14x -4 + -14x = 4 + 12x + -12x Combine like terms: 12x + -12x = 0 -4 + -14x = 4 + 0 -4 + -14x = 4 Add '4' to each side of the equation. -4 + 4 + -14x = 4 + 4 Combine like terms: -4 + 4 = 0 0 + -14x = 4 + 4 -14x = 4 + 4 Combine like terms: 4 + 4 = 8 -14x = 8 Divide each side by '-14'. x = -0.5714285714 Simplifying x = -0.5714285714
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