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Simplifying 6(2x + -5) + -4 = 6(x + -4) + 2 Reorder the terms: 6(-5 + 2x) + -4 = 6(x + -4) + 2 (-5 * 6 + 2x * 6) + -4 = 6(x + -4) + 2 (-30 + 12x) + -4 = 6(x + -4) + 2 Reorder the terms: -30 + -4 + 12x = 6(x + -4) + 2 Combine like terms: -30 + -4 = -34 -34 + 12x = 6(x + -4) + 2 Reorder the terms: -34 + 12x = 6(-4 + x) + 2 -34 + 12x = (-4 * 6 + x * 6) + 2 -34 + 12x = (-24 + 6x) + 2 Reorder the terms: -34 + 12x = -24 + 2 + 6x Combine like terms: -24 + 2 = -22 -34 + 12x = -22 + 6x Solving -34 + 12x = -22 + 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. -34 + 12x + -6x = -22 + 6x + -6x Combine like terms: 12x + -6x = 6x -34 + 6x = -22 + 6x + -6x Combine like terms: 6x + -6x = 0 -34 + 6x = -22 + 0 -34 + 6x = -22 Add '34' to each side of the equation. -34 + 34 + 6x = -22 + 34 Combine like terms: -34 + 34 = 0 0 + 6x = -22 + 34 6x = -22 + 34 Combine like terms: -22 + 34 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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