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Simplifying 5x + 6 = 3 + -1(2x + 4) Reorder the terms: 6 + 5x = 3 + -1(2x + 4) Reorder the terms: 6 + 5x = 3 + -1(4 + 2x) 6 + 5x = 3 + (4 * -1 + 2x * -1) 6 + 5x = 3 + (-4 + -2x) Combine like terms: 3 + -4 = -1 6 + 5x = -1 + -2x Solving 6 + 5x = -1 + -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 + 5x + 2x = -1 + -2x + 2x Combine like terms: 5x + 2x = 7x 6 + 7x = -1 + -2x + 2x Combine like terms: -2x + 2x = 0 6 + 7x = -1 + 0 6 + 7x = -1 Add '-6' to each side of the equation. 6 + -6 + 7x = -1 + -6 Combine like terms: 6 + -6 = 0 0 + 7x = -1 + -6 7x = -1 + -6 Combine like terms: -1 + -6 = -7 7x = -7 Divide each side by '7'. x = -1 Simplifying x = -1
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