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Simplifying 6(3x + -1) + -2x = 2(2x + -5) + -8 Reorder the terms: 6(-1 + 3x) + -2x = 2(2x + -5) + -8 (-1 * 6 + 3x * 6) + -2x = 2(2x + -5) + -8 (-6 + 18x) + -2x = 2(2x + -5) + -8 Combine like terms: 18x + -2x = 16x -6 + 16x = 2(2x + -5) + -8 Reorder the terms: -6 + 16x = 2(-5 + 2x) + -8 -6 + 16x = (-5 * 2 + 2x * 2) + -8 -6 + 16x = (-10 + 4x) + -8 Reorder the terms: -6 + 16x = -10 + -8 + 4x Combine like terms: -10 + -8 = -18 -6 + 16x = -18 + 4x Solving -6 + 16x = -18 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -6 + 16x + -4x = -18 + 4x + -4x Combine like terms: 16x + -4x = 12x -6 + 12x = -18 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + 12x = -18 + 0 -6 + 12x = -18 Add '6' to each side of the equation. -6 + 6 + 12x = -18 + 6 Combine like terms: -6 + 6 = 0 0 + 12x = -18 + 6 12x = -18 + 6 Combine like terms: -18 + 6 = -12 12x = -12 Divide each side by '12'. x = -1 Simplifying x = -1
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