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Simplifying -6(4x + -1) + 5(5x + -3) + -6 = 2 + -6 Reorder the terms: -6(-1 + 4x) + 5(5x + -3) + -6 = 2 + -6 (-1 * -6 + 4x * -6) + 5(5x + -3) + -6 = 2 + -6 (6 + -24x) + 5(5x + -3) + -6 = 2 + -6 Reorder the terms: 6 + -24x + 5(-3 + 5x) + -6 = 2 + -6 6 + -24x + (-3 * 5 + 5x * 5) + -6 = 2 + -6 6 + -24x + (-15 + 25x) + -6 = 2 + -6 Reorder the terms: 6 + -15 + -6 + -24x + 25x = 2 + -6 Combine like terms: 6 + -15 = -9 -9 + -6 + -24x + 25x = 2 + -6 Combine like terms: -9 + -6 = -15 -15 + -24x + 25x = 2 + -6 Combine like terms: -24x + 25x = 1x -15 + 1x = 2 + -6 Combine like terms: 2 + -6 = -4 -15 + 1x = -4 Solving -15 + 1x = -4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 1x = -4 + 15 Combine like terms: -15 + 15 = 0 0 + 1x = -4 + 15 1x = -4 + 15 Combine like terms: -4 + 15 = 11 1x = 11 Divide each side by '1'. x = 11 Simplifying x = 11
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