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Simplifying -6(-4x + 1) + -5x = 3(x + -6) + -2 Reorder the terms: -6(1 + -4x) + -5x = 3(x + -6) + -2 (1 * -6 + -4x * -6) + -5x = 3(x + -6) + -2 (-6 + 24x) + -5x = 3(x + -6) + -2 Combine like terms: 24x + -5x = 19x -6 + 19x = 3(x + -6) + -2 Reorder the terms: -6 + 19x = 3(-6 + x) + -2 -6 + 19x = (-6 * 3 + x * 3) + -2 -6 + 19x = (-18 + 3x) + -2 Reorder the terms: -6 + 19x = -18 + -2 + 3x Combine like terms: -18 + -2 = -20 -6 + 19x = -20 + 3x Solving -6 + 19x = -20 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -6 + 19x + -3x = -20 + 3x + -3x Combine like terms: 19x + -3x = 16x -6 + 16x = -20 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + 16x = -20 + 0 -6 + 16x = -20 Add '6' to each side of the equation. -6 + 6 + 16x = -20 + 6 Combine like terms: -6 + 6 = 0 0 + 16x = -20 + 6 16x = -20 + 6 Combine like terms: -20 + 6 = -14 16x = -14 Divide each side by '16'. x = -0.875 Simplifying x = -0.875
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