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Simplifying -4x + 9 = -3(2x + 1) Reorder the terms: 9 + -4x = -3(2x + 1) Reorder the terms: 9 + -4x = -3(1 + 2x) 9 + -4x = (1 * -3 + 2x * -3) 9 + -4x = (-3 + -6x) Solving 9 + -4x = -3 + -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. 9 + -4x + 6x = -3 + -6x + 6x Combine like terms: -4x + 6x = 2x 9 + 2x = -3 + -6x + 6x Combine like terms: -6x + 6x = 0 9 + 2x = -3 + 0 9 + 2x = -3 Add '-9' to each side of the equation. 9 + -9 + 2x = -3 + -9 Combine like terms: 9 + -9 = 0 0 + 2x = -3 + -9 2x = -3 + -9 Combine like terms: -3 + -9 = -12 2x = -12 Divide each side by '2'. x = -6 Simplifying x = -6
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