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