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Simplifying 3(4x + -3) + -3 = 6x + 5 Reorder the terms: 3(-3 + 4x) + -3 = 6x + 5 (-3 * 3 + 4x * 3) + -3 = 6x + 5 (-9 + 12x) + -3 = 6x + 5 Reorder the terms: -9 + -3 + 12x = 6x + 5 Combine like terms: -9 + -3 = -12 -12 + 12x = 6x + 5 Reorder the terms: -12 + 12x = 5 + 6x Solving -12 + 12x = 5 + 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. -12 + 12x + -6x = 5 + 6x + -6x Combine like terms: 12x + -6x = 6x -12 + 6x = 5 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 + 6x = 5 + 0 -12 + 6x = 5 Add '12' to each side of the equation. -12 + 12 + 6x = 5 + 12 Combine like terms: -12 + 12 = 0 0 + 6x = 5 + 12 6x = 5 + 12 Combine like terms: 5 + 12 = 17 6x = 17 Divide each side by '6'. x = 2.833333333 Simplifying x = 2.833333333
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