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Simplifying 6 = -7x + 5(x + 4) Reorder the terms: 6 = -7x + 5(4 + x) 6 = -7x + (4 * 5 + x * 5) 6 = -7x + (20 + 5x) Reorder the terms: 6 = 20 + -7x + 5x Combine like terms: -7x + 5x = -2x 6 = 20 + -2x Solving 6 = 20 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 6 + 2x = 20 + -2x + 2x Combine like terms: -2x + 2x = 0 6 + 2x = 20 + 0 6 + 2x = 20 Add '-6' to each side of the equation. 6 + -6 + 2x = 20 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = 20 + -6 2x = 20 + -6 Combine like terms: 20 + -6 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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