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Simplifying 6x + -4(3 + -2x) = 5(-4) + -10 6x + (3 * -4 + -2x * -4) = 5(-4) + -10 6x + (-12 + 8x) = 5(-4) + -10 Reorder the terms: -12 + 6x + 8x = 5(-4) + -10 Combine like terms: 6x + 8x = 14x -12 + 14x = 5(-4) + -10 Multiply 5 * -4 -12 + 14x = -20 + -10 Combine like terms: -20 + -10 = -30 -12 + 14x = -30 Solving -12 + 14x = -30 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 Combine like terms: -12 + 12 = 0 0 + 14x = -30 + 12 14x = -30 + 12 Combine like terms: -30 + 12 = -18 14x = -18 Divide each side by '14'. x = -1.285714286 Simplifying x = -1.285714286
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