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Simplifying 4(8 + -3x) + -12 = -2(2 + 3x) (8 * 4 + -3x * 4) + -12 = -2(2 + 3x) (32 + -12x) + -12 = -2(2 + 3x) Reorder the terms: 32 + -12 + -12x = -2(2 + 3x) Combine like terms: 32 + -12 = 20 20 + -12x = -2(2 + 3x) 20 + -12x = (2 * -2 + 3x * -2) 20 + -12x = (-4 + -6x) Solving 20 + -12x = -4 + -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. 20 + -12x + 6x = -4 + -6x + 6x Combine like terms: -12x + 6x = -6x 20 + -6x = -4 + -6x + 6x Combine like terms: -6x + 6x = 0 20 + -6x = -4 + 0 20 + -6x = -4 Add '-20' to each side of the equation. 20 + -20 + -6x = -4 + -20 Combine like terms: 20 + -20 = 0 0 + -6x = -4 + -20 -6x = -4 + -20 Combine like terms: -4 + -20 = -24 -6x = -24 Divide each side by '-6'. x = 4 Simplifying x = 4
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