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Simplifying 6x + 9 = -2(x + 1) Reorder the terms: 9 + 6x = -2(x + 1) Reorder the terms: 9 + 6x = -2(1 + x) 9 + 6x = (1 * -2 + x * -2) 9 + 6x = (-2 + -2x) Solving 9 + 6x = -2 + -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. 9 + 6x + 2x = -2 + -2x + 2x Combine like terms: 6x + 2x = 8x 9 + 8x = -2 + -2x + 2x Combine like terms: -2x + 2x = 0 9 + 8x = -2 + 0 9 + 8x = -2 Add '-9' to each side of the equation. 9 + -9 + 8x = -2 + -9 Combine like terms: 9 + -9 = 0 0 + 8x = -2 + -9 8x = -2 + -9 Combine like terms: -2 + -9 = -11 8x = -11 Divide each side by '8'. x = -1.375 Simplifying x = -1.375
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