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Simplifying 6x + 3 = -1(2x + 9) Reorder the terms: 3 + 6x = -1(2x + 9) Reorder the terms: 3 + 6x = -1(9 + 2x) 3 + 6x = (9 * -1 + 2x * -1) 3 + 6x = (-9 + -2x) Solving 3 + 6x = -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. 3 + 6x + 2x = -9 + -2x + 2x Combine like terms: 6x + 2x = 8x 3 + 8x = -9 + -2x + 2x Combine like terms: -2x + 2x = 0 3 + 8x = -9 + 0 3 + 8x = -9 Add '-3' to each side of the equation. 3 + -3 + 8x = -9 + -3 Combine like terms: 3 + -3 = 0 0 + 8x = -9 + -3 8x = -9 + -3 Combine like terms: -9 + -3 = -12 8x = -12 Divide each side by '8'. x = -1.5 Simplifying x = -1.5
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