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Simplifying 12 = -2(x + 4) + 2(-3x + -2) Reorder the terms: 12 = -2(4 + x) + 2(-3x + -2) 12 = (4 * -2 + x * -2) + 2(-3x + -2) 12 = (-8 + -2x) + 2(-3x + -2) Reorder the terms: 12 = -8 + -2x + 2(-2 + -3x) 12 = -8 + -2x + (-2 * 2 + -3x * 2) 12 = -8 + -2x + (-4 + -6x) Reorder the terms: 12 = -8 + -4 + -2x + -6x Combine like terms: -8 + -4 = -12 12 = -12 + -2x + -6x Combine like terms: -2x + -6x = -8x 12 = -12 + -8x Solving 12 = -12 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 12 + 8x = -12 + -8x + 8x Combine like terms: -8x + 8x = 0 12 + 8x = -12 + 0 12 + 8x = -12 Add '-12' to each side of the equation. 12 + -12 + 8x = -12 + -12 Combine like terms: 12 + -12 = 0 0 + 8x = -12 + -12 8x = -12 + -12 Combine like terms: -12 + -12 = -24 8x = -24 Divide each side by '8'. x = -3 Simplifying x = -3
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