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Simplifying 12 + -3(x + 2) = x + 8 Reorder the terms: 12 + -3(2 + x) = x + 8 12 + (2 * -3 + x * -3) = x + 8 12 + (-6 + -3x) = x + 8 Combine like terms: 12 + -6 = 6 6 + -3x = x + 8 Reorder the terms: 6 + -3x = 8 + x Solving 6 + -3x = 8 + 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. 6 + -3x + -1x = 8 + x + -1x Combine like terms: -3x + -1x = -4x 6 + -4x = 8 + x + -1x Combine like terms: x + -1x = 0 6 + -4x = 8 + 0 6 + -4x = 8 Add '-6' to each side of the equation. 6 + -6 + -4x = 8 + -6 Combine like terms: 6 + -6 = 0 0 + -4x = 8 + -6 -4x = 8 + -6 Combine like terms: 8 + -6 = 2 -4x = 2 Divide each side by '-4'. x = -0.5 Simplifying x = -0.5
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