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Simplifying 2 + -3(x + 2) = 5x + -12 Reorder the terms: 2 + -3(2 + x) = 5x + -12 2 + (2 * -3 + x * -3) = 5x + -12 2 + (-6 + -3x) = 5x + -12 Combine like terms: 2 + -6 = -4 -4 + -3x = 5x + -12 Reorder the terms: -4 + -3x = -12 + 5x Solving -4 + -3x = -12 + 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. -4 + -3x + -5x = -12 + 5x + -5x Combine like terms: -3x + -5x = -8x -4 + -8x = -12 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 + -8x = -12 + 0 -4 + -8x = -12 Add '4' to each side of the equation. -4 + 4 + -8x = -12 + 4 Combine like terms: -4 + 4 = 0 0 + -8x = -12 + 4 -8x = -12 + 4 Combine like terms: -12 + 4 = -8 -8x = -8 Divide each side by '-8'. x = 1 Simplifying x = 1
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