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Simplifying 2x + 12 + 4x = -10 + -8x + -20 Reorder the terms: 12 + 2x + 4x = -10 + -8x + -20 Combine like terms: 2x + 4x = 6x 12 + 6x = -10 + -8x + -20 Reorder the terms: 12 + 6x = -10 + -20 + -8x Combine like terms: -10 + -20 = -30 12 + 6x = -30 + -8x Solving 12 + 6x = -30 + -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 + 6x + 8x = -30 + -8x + 8x Combine like terms: 6x + 8x = 14x 12 + 14x = -30 + -8x + 8x Combine like terms: -8x + 8x = 0 12 + 14x = -30 + 0 12 + 14x = -30 Add '-12' to each side of the equation. 12 + -12 + 14x = -30 + -12 Combine like terms: 12 + -12 = 0 0 + 14x = -30 + -12 14x = -30 + -12 Combine like terms: -30 + -12 = -42 14x = -42 Divide each side by '14'. x = -3 Simplifying x = -3
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