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Simplifying 4 + -6(3 + -2x) = 3(x + -4) 4 + (3 * -6 + -2x * -6) = 3(x + -4) 4 + (-18 + 12x) = 3(x + -4) Combine like terms: 4 + -18 = -14 -14 + 12x = 3(x + -4) Reorder the terms: -14 + 12x = 3(-4 + x) -14 + 12x = (-4 * 3 + x * 3) -14 + 12x = (-12 + 3x) Solving -14 + 12x = -12 + 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. -14 + 12x + -3x = -12 + 3x + -3x Combine like terms: 12x + -3x = 9x -14 + 9x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 -14 + 9x = -12 + 0 -14 + 9x = -12 Add '14' to each side of the equation. -14 + 14 + 9x = -12 + 14 Combine like terms: -14 + 14 = 0 0 + 9x = -12 + 14 9x = -12 + 14 Combine like terms: -12 + 14 = 2 9x = 2 Divide each side by '9'. x = 0.2222222222 Simplifying x = 0.2222222222
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