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Simplifying 6 + -3(x + 6) = 3x + 4 Reorder the terms: 6 + -3(6 + x) = 3x + 4 6 + (6 * -3 + x * -3) = 3x + 4 6 + (-18 + -3x) = 3x + 4 Combine like terms: 6 + -18 = -12 -12 + -3x = 3x + 4 Reorder the terms: -12 + -3x = 4 + 3x Solving -12 + -3x = 4 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -12 + -3x + -3x = 4 + 3x + -3x Combine like terms: -3x + -3x = -6x -12 + -6x = 4 + 3x + -3x Combine like terms: 3x + -3x = 0 -12 + -6x = 4 + 0 -12 + -6x = 4 Add '12' to each side of the equation. -12 + 12 + -6x = 4 + 12 Combine like terms: -12 + 12 = 0 0 + -6x = 4 + 12 -6x = 4 + 12 Combine like terms: 4 + 12 = 16 -6x = 16 Divide each side by '-6'. x = -2.666666667 Simplifying x = -2.666666667
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