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Simplifying -6(4x + -1) + 5(5x + -2) + -4 = 2 + -8 Reorder the terms: -6(-1 + 4x) + 5(5x + -2) + -4 = 2 + -8 (-1 * -6 + 4x * -6) + 5(5x + -2) + -4 = 2 + -8 (6 + -24x) + 5(5x + -2) + -4 = 2 + -8 Reorder the terms: 6 + -24x + 5(-2 + 5x) + -4 = 2 + -8 6 + -24x + (-2 * 5 + 5x * 5) + -4 = 2 + -8 6 + -24x + (-10 + 25x) + -4 = 2 + -8 Reorder the terms: 6 + -10 + -4 + -24x + 25x = 2 + -8 Combine like terms: 6 + -10 = -4 -4 + -4 + -24x + 25x = 2 + -8 Combine like terms: -4 + -4 = -8 -8 + -24x + 25x = 2 + -8 Combine like terms: -24x + 25x = 1x -8 + 1x = 2 + -8 Combine like terms: 2 + -8 = -6 -8 + 1x = -6 Solving -8 + 1x = -6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 1x = -6 + 8 Combine like terms: -8 + 8 = 0 0 + 1x = -6 + 8 1x = -6 + 8 Combine like terms: -6 + 8 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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