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Simplifying 3x + 6 = 5 + -2(x + 7) Reorder the terms: 6 + 3x = 5 + -2(x + 7) Reorder the terms: 6 + 3x = 5 + -2(7 + x) 6 + 3x = 5 + (7 * -2 + x * -2) 6 + 3x = 5 + (-14 + -2x) Combine like terms: 5 + -14 = -9 6 + 3x = -9 + -2x Solving 6 + 3x = -9 + -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 + 3x + 2x = -9 + -2x + 2x Combine like terms: 3x + 2x = 5x 6 + 5x = -9 + -2x + 2x Combine like terms: -2x + 2x = 0 6 + 5x = -9 + 0 6 + 5x = -9 Add '-6' to each side of the equation. 6 + -6 + 5x = -9 + -6 Combine like terms: 6 + -6 = 0 0 + 5x = -9 + -6 5x = -9 + -6 Combine like terms: -9 + -6 = -15 5x = -15 Divide each side by '5'. x = -3 Simplifying x = -3
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