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Simplifying 6 + -12(x + 6) = 3x + 4 Reorder the terms: 6 + -12(6 + x) = 3x + 4 6 + (6 * -12 + x * -12) = 3x + 4 6 + (-72 + -12x) = 3x + 4 Combine like terms: 6 + -72 = -66 -66 + -12x = 3x + 4 Reorder the terms: -66 + -12x = 4 + 3x Solving -66 + -12x = 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. -66 + -12x + -3x = 4 + 3x + -3x Combine like terms: -12x + -3x = -15x -66 + -15x = 4 + 3x + -3x Combine like terms: 3x + -3x = 0 -66 + -15x = 4 + 0 -66 + -15x = 4 Add '66' to each side of the equation. -66 + 66 + -15x = 4 + 66 Combine like terms: -66 + 66 = 0 0 + -15x = 4 + 66 -15x = 4 + 66 Combine like terms: 4 + 66 = 70 -15x = 70 Divide each side by '-15'. x = -4.666666667 Simplifying x = -4.666666667
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