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Simplifying 3x + -1(x + 6) = 4x + 12 Reorder the terms: 3x + -1(6 + x) = 4x + 12 3x + (6 * -1 + x * -1) = 4x + 12 3x + (-6 + -1x) = 4x + 12 Reorder the terms: -6 + 3x + -1x = 4x + 12 Combine like terms: 3x + -1x = 2x -6 + 2x = 4x + 12 Reorder the terms: -6 + 2x = 12 + 4x Solving -6 + 2x = 12 + 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 + 2x + -4x = 12 + 4x + -4x Combine like terms: 2x + -4x = -2x -6 + -2x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + -2x = 12 + 0 -6 + -2x = 12 Add '6' to each side of the equation. -6 + 6 + -2x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = 12 + 6 -2x = 12 + 6 Combine like terms: 12 + 6 = 18 -2x = 18 Divide each side by '-2'. x = -9 Simplifying x = -9
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