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Simplifying -2(-4x + -1) + -3(x + -6) = 2x + -1 + 8x + 1 Reorder the terms: -2(-1 + -4x) + -3(x + -6) = 2x + -1 + 8x + 1 (-1 * -2 + -4x * -2) + -3(x + -6) = 2x + -1 + 8x + 1 (2 + 8x) + -3(x + -6) = 2x + -1 + 8x + 1 Reorder the terms: 2 + 8x + -3(-6 + x) = 2x + -1 + 8x + 1 2 + 8x + (-6 * -3 + x * -3) = 2x + -1 + 8x + 1 2 + 8x + (18 + -3x) = 2x + -1 + 8x + 1 Reorder the terms: 2 + 18 + 8x + -3x = 2x + -1 + 8x + 1 Combine like terms: 2 + 18 = 20 20 + 8x + -3x = 2x + -1 + 8x + 1 Combine like terms: 8x + -3x = 5x 20 + 5x = 2x + -1 + 8x + 1 Reorder the terms: 20 + 5x = -1 + 1 + 2x + 8x Combine like terms: -1 + 1 = 0 20 + 5x = 0 + 2x + 8x 20 + 5x = 2x + 8x Combine like terms: 2x + 8x = 10x 20 + 5x = 10x Solving 20 + 5x = 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 20 + 5x + -10x = 10x + -10x Combine like terms: 5x + -10x = -5x 20 + -5x = 10x + -10x Combine like terms: 10x + -10x = 0 20 + -5x = 0 Add '-20' to each side of the equation. 20 + -20 + -5x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -5x = 0 + -20 -5x = 0 + -20 Combine like terms: 0 + -20 = -20 -5x = -20 Divide each side by '-5'. x = 4 Simplifying x = 4
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