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Simplifying 12 + -3(x + 2) = 5x + 1 Reorder the terms: 12 + -3(2 + x) = 5x + 1 12 + (2 * -3 + x * -3) = 5x + 1 12 + (-6 + -3x) = 5x + 1 Combine like terms: 12 + -6 = 6 6 + -3x = 5x + 1 Reorder the terms: 6 + -3x = 1 + 5x Solving 6 + -3x = 1 + 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. 6 + -3x + -5x = 1 + 5x + -5x Combine like terms: -3x + -5x = -8x 6 + -8x = 1 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + -8x = 1 + 0 6 + -8x = 1 Add '-6' to each side of the equation. 6 + -6 + -8x = 1 + -6 Combine like terms: 6 + -6 = 0 0 + -8x = 1 + -6 -8x = 1 + -6 Combine like terms: 1 + -6 = -5 -8x = -5 Divide each side by '-8'. x = 0.625 Simplifying x = 0.625
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