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Simplifying 2(4x + -3) = (4x + 3) * 3 Reorder the terms: 2(-3 + 4x) = (4x + 3) * 3 (-3 * 2 + 4x * 2) = (4x + 3) * 3 (-6 + 8x) = (4x + 3) * 3 Reorder the terms: -6 + 8x = (3 + 4x) * 3 Reorder the terms for easier multiplication: -6 + 8x = 3(3 + 4x) -6 + 8x = (3 * 3 + 4x * 3) -6 + 8x = (9 + 12x) Solving -6 + 8x = 9 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -6 + 8x + -12x = 9 + 12x + -12x Combine like terms: 8x + -12x = -4x -6 + -4x = 9 + 12x + -12x Combine like terms: 12x + -12x = 0 -6 + -4x = 9 + 0 -6 + -4x = 9 Add '6' to each side of the equation. -6 + 6 + -4x = 9 + 6 Combine like terms: -6 + 6 = 0 0 + -4x = 9 + 6 -4x = 9 + 6 Combine like terms: 9 + 6 = 15 -4x = 15 Divide each side by '-4'. x = -3.75 Simplifying x = -3.75
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