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Simplifying 6(x + 7) + -20 = 4x + 12 Reorder the terms: 6(7 + x) + -20 = 4x + 12 (7 * 6 + x * 6) + -20 = 4x + 12 (42 + 6x) + -20 = 4x + 12 Reorder the terms: 42 + -20 + 6x = 4x + 12 Combine like terms: 42 + -20 = 22 22 + 6x = 4x + 12 Reorder the terms: 22 + 6x = 12 + 4x Solving 22 + 6x = 12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 22 + 6x + -4x = 12 + 4x + -4x Combine like terms: 6x + -4x = 2x 22 + 2x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 22 + 2x = 12 + 0 22 + 2x = 12 Add '-22' to each side of the equation. 22 + -22 + 2x = 12 + -22 Combine like terms: 22 + -22 = 0 0 + 2x = 12 + -22 2x = 12 + -22 Combine like terms: 12 + -22 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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