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Simplifying 3(x + 6) + -7 = -2(x + -8) Reorder the terms: 3(6 + x) + -7 = -2(x + -8) (6 * 3 + x * 3) + -7 = -2(x + -8) (18 + 3x) + -7 = -2(x + -8) Reorder the terms: 18 + -7 + 3x = -2(x + -8) Combine like terms: 18 + -7 = 11 11 + 3x = -2(x + -8) Reorder the terms: 11 + 3x = -2(-8 + x) 11 + 3x = (-8 * -2 + x * -2) 11 + 3x = (16 + -2x) Solving 11 + 3x = 16 + -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. 11 + 3x + 2x = 16 + -2x + 2x Combine like terms: 3x + 2x = 5x 11 + 5x = 16 + -2x + 2x Combine like terms: -2x + 2x = 0 11 + 5x = 16 + 0 11 + 5x = 16 Add '-11' to each side of the equation. 11 + -11 + 5x = 16 + -11 Combine like terms: 11 + -11 = 0 0 + 5x = 16 + -11 5x = 16 + -11 Combine like terms: 16 + -11 = 5 5x = 5 Divide each side by '5'. x = 1 Simplifying x = 1
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