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Simplifying 3(4x + -3) = 5(x + 6) + -2 Reorder the terms: 3(-3 + 4x) = 5(x + 6) + -2 (-3 * 3 + 4x * 3) = 5(x + 6) + -2 (-9 + 12x) = 5(x + 6) + -2 Reorder the terms: -9 + 12x = 5(6 + x) + -2 -9 + 12x = (6 * 5 + x * 5) + -2 -9 + 12x = (30 + 5x) + -2 Reorder the terms: -9 + 12x = 30 + -2 + 5x Combine like terms: 30 + -2 = 28 -9 + 12x = 28 + 5x Solving -9 + 12x = 28 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -9 + 12x + -5x = 28 + 5x + -5x Combine like terms: 12x + -5x = 7x -9 + 7x = 28 + 5x + -5x Combine like terms: 5x + -5x = 0 -9 + 7x = 28 + 0 -9 + 7x = 28 Add '9' to each side of the equation. -9 + 9 + 7x = 28 + 9 Combine like terms: -9 + 9 = 0 0 + 7x = 28 + 9 7x = 28 + 9 Combine like terms: 28 + 9 = 37 7x = 37 Divide each side by '7'. x = 5.285714286 Simplifying x = 5.285714286
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