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Simplifying -2(4x + 1) = 3(x + 3) Reorder the terms: -2(1 + 4x) = 3(x + 3) (1 * -2 + 4x * -2) = 3(x + 3) (-2 + -8x) = 3(x + 3) Reorder the terms: -2 + -8x = 3(3 + x) -2 + -8x = (3 * 3 + x * 3) -2 + -8x = (9 + 3x) Solving -2 + -8x = 9 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -2 + -8x + -3x = 9 + 3x + -3x Combine like terms: -8x + -3x = -11x -2 + -11x = 9 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + -11x = 9 + 0 -2 + -11x = 9 Add '2' to each side of the equation. -2 + 2 + -11x = 9 + 2 Combine like terms: -2 + 2 = 0 0 + -11x = 9 + 2 -11x = 9 + 2 Combine like terms: 9 + 2 = 11 -11x = 11 Divide each side by '-11'. x = -1 Simplifying x = -1
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