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Simplifying 1 + -2(x + 2) = (4 + x) + -3(2x + 2) Reorder the terms: 1 + -2(2 + x) = (4 + x) + -3(2x + 2) 1 + (2 * -2 + x * -2) = (4 + x) + -3(2x + 2) 1 + (-4 + -2x) = (4 + x) + -3(2x + 2) Combine like terms: 1 + -4 = -3 -3 + -2x = (4 + x) + -3(2x + 2) Remove parenthesis around (4 + x) -3 + -2x = 4 + x + -3(2x + 2) Reorder the terms: -3 + -2x = 4 + x + -3(2 + 2x) -3 + -2x = 4 + x + (2 * -3 + 2x * -3) -3 + -2x = 4 + x + (-6 + -6x) Reorder the terms: -3 + -2x = 4 + -6 + x + -6x Combine like terms: 4 + -6 = -2 -3 + -2x = -2 + x + -6x Combine like terms: x + -6x = -5x -3 + -2x = -2 + -5x Solving -3 + -2x = -2 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -3 + -2x + 5x = -2 + -5x + 5x Combine like terms: -2x + 5x = 3x -3 + 3x = -2 + -5x + 5x Combine like terms: -5x + 5x = 0 -3 + 3x = -2 + 0 -3 + 3x = -2 Add '3' to each side of the equation. -3 + 3 + 3x = -2 + 3 Combine like terms: -3 + 3 = 0 0 + 3x = -2 + 3 3x = -2 + 3 Combine like terms: -2 + 3 = 1 3x = 1 Divide each side by '3'. x = 0.3333333333 Simplifying x = 0.3333333333
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