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Simplifying -2(x + 3) = 2x + -6 + 5(2x + 2) Reorder the terms: -2(3 + x) = 2x + -6 + 5(2x + 2) (3 * -2 + x * -2) = 2x + -6 + 5(2x + 2) (-6 + -2x) = 2x + -6 + 5(2x + 2) Reorder the terms: -6 + -2x = 2x + -6 + 5(2 + 2x) -6 + -2x = 2x + -6 + (2 * 5 + 2x * 5) -6 + -2x = 2x + -6 + (10 + 10x) Reorder the terms: -6 + -2x = -6 + 10 + 2x + 10x Combine like terms: -6 + 10 = 4 -6 + -2x = 4 + 2x + 10x Combine like terms: 2x + 10x = 12x -6 + -2x = 4 + 12x Solving -6 + -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. -6 + -2x + -12x = 4 + 12x + -12x Combine like terms: -2x + -12x = -14x -6 + -14x = 4 + 12x + -12x Combine like terms: 12x + -12x = 0 -6 + -14x = 4 + 0 -6 + -14x = 4 Add '6' to each side of the equation. -6 + 6 + -14x = 4 + 6 Combine like terms: -6 + 6 = 0 0 + -14x = 4 + 6 -14x = 4 + 6 Combine like terms: 4 + 6 = 10 -14x = 10 Divide each side by '-14'. x = -0.7142857143 Simplifying x = -0.7142857143
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