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Simplifying 2(6 + -4x) + 3x = -6(x + -5) (6 * 2 + -4x * 2) + 3x = -6(x + -5) (12 + -8x) + 3x = -6(x + -5) Combine like terms: -8x + 3x = -5x 12 + -5x = -6(x + -5) Reorder the terms: 12 + -5x = -6(-5 + x) 12 + -5x = (-5 * -6 + x * -6) 12 + -5x = (30 + -6x) Solving 12 + -5x = 30 + -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. 12 + -5x + 6x = 30 + -6x + 6x Combine like terms: -5x + 6x = 1x 12 + 1x = 30 + -6x + 6x Combine like terms: -6x + 6x = 0 12 + 1x = 30 + 0 12 + 1x = 30 Add '-12' to each side of the equation. 12 + -12 + 1x = 30 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 30 + -12 1x = 30 + -12 Combine like terms: 30 + -12 = 18 1x = 18 Divide each side by '1'. x = 18 Simplifying x = 18
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