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Simplifying 6(2x + -8) + -2 = 6(x + -5) + (4) Reorder the terms: 6(-8 + 2x) + -2 = 6(x + -5) + (4) (-8 * 6 + 2x * 6) + -2 = 6(x + -5) + (4) (-48 + 12x) + -2 = 6(x + -5) + (4) Reorder the terms: -48 + -2 + 12x = 6(x + -5) + (4) Combine like terms: -48 + -2 = -50 -50 + 12x = 6(x + -5) + (4) Reorder the terms: -50 + 12x = 6(-5 + x) + (4) -50 + 12x = (-5 * 6 + x * 6) + (4) -50 + 12x = (-30 + 6x) + (4) -50 + 12x = -30 + 6x + 4 Reorder the terms: -50 + 12x = -30 + 4 + 6x Combine like terms: -30 + 4 = -26 -50 + 12x = -26 + 6x Solving -50 + 12x = -26 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -50 + 12x + -6x = -26 + 6x + -6x Combine like terms: 12x + -6x = 6x -50 + 6x = -26 + 6x + -6x Combine like terms: 6x + -6x = 0 -50 + 6x = -26 + 0 -50 + 6x = -26 Add '50' to each side of the equation. -50 + 50 + 6x = -26 + 50 Combine like terms: -50 + 50 = 0 0 + 6x = -26 + 50 6x = -26 + 50 Combine like terms: -26 + 50 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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