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Simplifying -2(x + 1) = 3x + -7 + 3(3x + 3) Reorder the terms: -2(1 + x) = 3x + -7 + 3(3x + 3) (1 * -2 + x * -2) = 3x + -7 + 3(3x + 3) (-2 + -2x) = 3x + -7 + 3(3x + 3) Reorder the terms: -2 + -2x = 3x + -7 + 3(3 + 3x) -2 + -2x = 3x + -7 + (3 * 3 + 3x * 3) -2 + -2x = 3x + -7 + (9 + 9x) Reorder the terms: -2 + -2x = -7 + 9 + 3x + 9x Combine like terms: -7 + 9 = 2 -2 + -2x = 2 + 3x + 9x Combine like terms: 3x + 9x = 12x -2 + -2x = 2 + 12x Solving -2 + -2x = 2 + 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. -2 + -2x + -12x = 2 + 12x + -12x Combine like terms: -2x + -12x = -14x -2 + -14x = 2 + 12x + -12x Combine like terms: 12x + -12x = 0 -2 + -14x = 2 + 0 -2 + -14x = 2 Add '2' to each side of the equation. -2 + 2 + -14x = 2 + 2 Combine like terms: -2 + 2 = 0 0 + -14x = 2 + 2 -14x = 2 + 2 Combine like terms: 2 + 2 = 4 -14x = 4 Divide each side by '-14'. x = -0.2857142857 Simplifying x = -0.2857142857
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