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Simplifying 3(x + 2) = 4(12 + -1x) Reorder the terms: 3(2 + x) = 4(12 + -1x) (2 * 3 + x * 3) = 4(12 + -1x) (6 + 3x) = 4(12 + -1x) 6 + 3x = (12 * 4 + -1x * 4) 6 + 3x = (48 + -4x) Solving 6 + 3x = 48 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 6 + 3x + 4x = 48 + -4x + 4x Combine like terms: 3x + 4x = 7x 6 + 7x = 48 + -4x + 4x Combine like terms: -4x + 4x = 0 6 + 7x = 48 + 0 6 + 7x = 48 Add '-6' to each side of the equation. 6 + -6 + 7x = 48 + -6 Combine like terms: 6 + -6 = 0 0 + 7x = 48 + -6 7x = 48 + -6 Combine like terms: 48 + -6 = 42 7x = 42 Divide each side by '7'. x = 6 Simplifying x = 6
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