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Simplifying 2(4x + -3) + 3 = 6 + 12x Reorder the terms: 2(-3 + 4x) + 3 = 6 + 12x (-3 * 2 + 4x * 2) + 3 = 6 + 12x (-6 + 8x) + 3 = 6 + 12x Reorder the terms: -6 + 3 + 8x = 6 + 12x Combine like terms: -6 + 3 = -3 -3 + 8x = 6 + 12x Solving -3 + 8x = 6 + 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. -3 + 8x + -12x = 6 + 12x + -12x Combine like terms: 8x + -12x = -4x -3 + -4x = 6 + 12x + -12x Combine like terms: 12x + -12x = 0 -3 + -4x = 6 + 0 -3 + -4x = 6 Add '3' to each side of the equation. -3 + 3 + -4x = 6 + 3 Combine like terms: -3 + 3 = 0 0 + -4x = 6 + 3 -4x = 6 + 3 Combine like terms: 6 + 3 = 9 -4x = 9 Divide each side by '-4'. x = -2.25 Simplifying x = -2.25
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