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Simplifying 6x + -4(3 + -2x) = 5(c + -4) + -10 6x + (3 * -4 + -2x * -4) = 5(c + -4) + -10 6x + (-12 + 8x) = 5(c + -4) + -10 Reorder the terms: -12 + 6x + 8x = 5(c + -4) + -10 Combine like terms: 6x + 8x = 14x -12 + 14x = 5(c + -4) + -10 Reorder the terms: -12 + 14x = 5(-4 + c) + -10 -12 + 14x = (-4 * 5 + c * 5) + -10 -12 + 14x = (-20 + 5c) + -10 Reorder the terms: -12 + 14x = -20 + -10 + 5c Combine like terms: -20 + -10 = -30 -12 + 14x = -30 + 5c Solving -12 + 14x = -30 + 5c Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 14x = -30 + 12 + 5c Combine like terms: -12 + 12 = 0 0 + 14x = -30 + 12 + 5c 14x = -30 + 12 + 5c Combine like terms: -30 + 12 = -18 14x = -18 + 5c Divide each side by '14'. x = -1.285714286 + 0.3571428571c Simplifying x = -1.285714286 + 0.3571428571c
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