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Simplifying 2x + 1 = -3(2x + 9) Reorder the terms: 1 + 2x = -3(2x + 9) Reorder the terms: 1 + 2x = -3(9 + 2x) 1 + 2x = (9 * -3 + 2x * -3) 1 + 2x = (-27 + -6x) Solving 1 + 2x = -27 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 1 + 2x + 6x = -27 + -6x + 6x Combine like terms: 2x + 6x = 8x 1 + 8x = -27 + -6x + 6x Combine like terms: -6x + 6x = 0 1 + 8x = -27 + 0 1 + 8x = -27 Add '-1' to each side of the equation. 1 + -1 + 8x = -27 + -1 Combine like terms: 1 + -1 = 0 0 + 8x = -27 + -1 8x = -27 + -1 Combine like terms: -27 + -1 = -28 8x = -28 Divide each side by '8'. x = -3.5 Simplifying x = -3.5
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