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Simplifying -3(2x + 1) = -4x + 6 Reorder the terms: -3(1 + 2x) = -4x + 6 (1 * -3 + 2x * -3) = -4x + 6 (-3 + -6x) = -4x + 6 Reorder the terms: -3 + -6x = 6 + -4x Solving -3 + -6x = 6 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -3 + -6x + 4x = 6 + -4x + 4x Combine like terms: -6x + 4x = -2x -3 + -2x = 6 + -4x + 4x Combine like terms: -4x + 4x = 0 -3 + -2x = 6 + 0 -3 + -2x = 6 Add '3' to each side of the equation. -3 + 3 + -2x = 6 + 3 Combine like terms: -3 + 3 = 0 0 + -2x = 6 + 3 -2x = 6 + 3 Combine like terms: 6 + 3 = 9 -2x = 9 Divide each side by '-2'. x = -4.5 Simplifying x = -4.5
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