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Simplifying 6 + 6(x + -3) = 2 + -3(x + -4) Reorder the terms: 6 + 6(-3 + x) = 2 + -3(x + -4) 6 + (-3 * 6 + x * 6) = 2 + -3(x + -4) 6 + (-18 + 6x) = 2 + -3(x + -4) Combine like terms: 6 + -18 = -12 -12 + 6x = 2 + -3(x + -4) Reorder the terms: -12 + 6x = 2 + -3(-4 + x) -12 + 6x = 2 + (-4 * -3 + x * -3) -12 + 6x = 2 + (12 + -3x) Combine like terms: 2 + 12 = 14 -12 + 6x = 14 + -3x Solving -12 + 6x = 14 + -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 + 6x + 3x = 14 + -3x + 3x Combine like terms: 6x + 3x = 9x -12 + 9x = 14 + -3x + 3x Combine like terms: -3x + 3x = 0 -12 + 9x = 14 + 0 -12 + 9x = 14 Add '12' to each side of the equation. -12 + 12 + 9x = 14 + 12 Combine like terms: -12 + 12 = 0 0 + 9x = 14 + 12 9x = 14 + 12 Combine like terms: 14 + 12 = 26 9x = 26 Divide each side by '9'. x = 2.888888889 Simplifying x = 2.888888889
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