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Simplifying 6x + -4(3 + -2x) = 5(x + -4) + -10 6x + (3 * -4 + -2x * -4) = 5(x + -4) + -10 6x + (-12 + 8x) = 5(x + -4) + -10 Reorder the terms: -12 + 6x + 8x = 5(x + -4) + -10 Combine like terms: 6x + 8x = 14x -12 + 14x = 5(x + -4) + -10 Reorder the terms: -12 + 14x = 5(-4 + x) + -10 -12 + 14x = (-4 * 5 + x * 5) + -10 -12 + 14x = (-20 + 5x) + -10 Reorder the terms: -12 + 14x = -20 + -10 + 5x Combine like terms: -20 + -10 = -30 -12 + 14x = -30 + 5x Solving -12 + 14x = -30 + 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 = -30 + 5x + -5x Combine like terms: 14x + -5x = 9x -12 + 9x = -30 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + 9x = -30 + 0 -12 + 9x = -30 Add '12' to each side of the equation. -12 + 12 + 9x = -30 + 12 Combine like terms: -12 + 12 = 0 0 + 9x = -30 + 12 9x = -30 + 12 Combine like terms: -30 + 12 = -18 9x = -18 Divide each side by '9'. x = -2 Simplifying x = -2
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