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Simplifying -4x + 1 = -3(2x + 3) Reorder the terms: 1 + -4x = -3(2x + 3) Reorder the terms: 1 + -4x = -3(3 + 2x) 1 + -4x = (3 * -3 + 2x * -3) 1 + -4x = (-9 + -6x) Solving 1 + -4x = -9 + -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 + -4x + 6x = -9 + -6x + 6x Combine like terms: -4x + 6x = 2x 1 + 2x = -9 + -6x + 6x Combine like terms: -6x + 6x = 0 1 + 2x = -9 + 0 1 + 2x = -9 Add '-1' to each side of the equation. 1 + -1 + 2x = -9 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = -9 + -1 2x = -9 + -1 Combine like terms: -9 + -1 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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