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Simplifying 6x + -4(3 + -2x) = 5(x + -4) 6x + (3 * -4 + -2x * -4) = 5(x + -4) 6x + (-12 + 8x) = 5(x + -4) Reorder the terms: -12 + 6x + 8x = 5(x + -4) Combine like terms: 6x + 8x = 14x -12 + 14x = 5(x + -4) Reorder the terms: -12 + 14x = 5(-4 + x) -12 + 14x = (-4 * 5 + x * 5) -12 + 14x = (-20 + 5x) Solving -12 + 14x = -20 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -12 + 14x + -5x = -20 + 5x + -5x Combine like terms: 14x + -5x = 9x -12 + 9x = -20 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + 9x = -20 + 0 -12 + 9x = -20 Add '12' to each side of the equation. -12 + 12 + 9x = -20 + 12 Combine like terms: -12 + 12 = 0 0 + 9x = -20 + 12 9x = -20 + 12 Combine like terms: -20 + 12 = -8 9x = -8 Divide each side by '9'. x = -0.8888888889 Simplifying x = -0.8888888889
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