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Simplifying x + -3(x + 2) + -2 = x + 4 Reorder the terms: x + -3(2 + x) + -2 = x + 4 x + (2 * -3 + x * -3) + -2 = x + 4 x + (-6 + -3x) + -2 = x + 4 Reorder the terms: -6 + -2 + x + -3x = x + 4 Combine like terms: -6 + -2 = -8 -8 + x + -3x = x + 4 Combine like terms: x + -3x = -2x -8 + -2x = x + 4 Reorder the terms: -8 + -2x = 4 + x Solving -8 + -2x = 4 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -8 + -2x + -1x = 4 + x + -1x Combine like terms: -2x + -1x = -3x -8 + -3x = 4 + x + -1x Combine like terms: x + -1x = 0 -8 + -3x = 4 + 0 -8 + -3x = 4 Add '8' to each side of the equation. -8 + 8 + -3x = 4 + 8 Combine like terms: -8 + 8 = 0 0 + -3x = 4 + 8 -3x = 4 + 8 Combine like terms: 4 + 8 = 12 -3x = 12 Divide each side by '-3'. x = -4 Simplifying x = -4
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