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Simplifying 6 + 3(6x + 4) = -6 + -6(3x + -9) Reorder the terms: 6 + 3(4 + 6x) = -6 + -6(3x + -9) 6 + (4 * 3 + 6x * 3) = -6 + -6(3x + -9) 6 + (12 + 18x) = -6 + -6(3x + -9) Combine like terms: 6 + 12 = 18 18 + 18x = -6 + -6(3x + -9) Reorder the terms: 18 + 18x = -6 + -6(-9 + 3x) 18 + 18x = -6 + (-9 * -6 + 3x * -6) 18 + 18x = -6 + (54 + -18x) Combine like terms: -6 + 54 = 48 18 + 18x = 48 + -18x Solving 18 + 18x = 48 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. 18 + 18x + 18x = 48 + -18x + 18x Combine like terms: 18x + 18x = 36x 18 + 36x = 48 + -18x + 18x Combine like terms: -18x + 18x = 0 18 + 36x = 48 + 0 18 + 36x = 48 Add '-18' to each side of the equation. 18 + -18 + 36x = 48 + -18 Combine like terms: 18 + -18 = 0 0 + 36x = 48 + -18 36x = 48 + -18 Combine like terms: 48 + -18 = 30 36x = 30 Divide each side by '36'. x = 0.8333333333 Simplifying x = 0.8333333333
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