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Simplifying -2(x + 1) = 3x + -3 + 2(2x + 2) Reorder the terms: -2(1 + x) = 3x + -3 + 2(2x + 2) (1 * -2 + x * -2) = 3x + -3 + 2(2x + 2) (-2 + -2x) = 3x + -3 + 2(2x + 2) Reorder the terms: -2 + -2x = 3x + -3 + 2(2 + 2x) -2 + -2x = 3x + -3 + (2 * 2 + 2x * 2) -2 + -2x = 3x + -3 + (4 + 4x) Reorder the terms: -2 + -2x = -3 + 4 + 3x + 4x Combine like terms: -3 + 4 = 1 -2 + -2x = 1 + 3x + 4x Combine like terms: 3x + 4x = 7x -2 + -2x = 1 + 7x Solving -2 + -2x = 1 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -2 + -2x + -7x = 1 + 7x + -7x Combine like terms: -2x + -7x = -9x -2 + -9x = 1 + 7x + -7x Combine like terms: 7x + -7x = 0 -2 + -9x = 1 + 0 -2 + -9x = 1 Add '2' to each side of the equation. -2 + 2 + -9x = 1 + 2 Combine like terms: -2 + 2 = 0 0 + -9x = 1 + 2 -9x = 1 + 2 Combine like terms: 1 + 2 = 3 -9x = 3 Divide each side by '-9'. x = -0.3333333333 Simplifying x = -0.3333333333
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