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Simplifying 4(3x + -1) + 3 = 9x + 5 Reorder the terms: 4(-1 + 3x) + 3 = 9x + 5 (-1 * 4 + 3x * 4) + 3 = 9x + 5 (-4 + 12x) + 3 = 9x + 5 Reorder the terms: -4 + 3 + 12x = 9x + 5 Combine like terms: -4 + 3 = -1 -1 + 12x = 9x + 5 Reorder the terms: -1 + 12x = 5 + 9x Solving -1 + 12x = 5 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -1 + 12x + -9x = 5 + 9x + -9x Combine like terms: 12x + -9x = 3x -1 + 3x = 5 + 9x + -9x Combine like terms: 9x + -9x = 0 -1 + 3x = 5 + 0 -1 + 3x = 5 Add '1' to each side of the equation. -1 + 1 + 3x = 5 + 1 Combine like terms: -1 + 1 = 0 0 + 3x = 5 + 1 3x = 5 + 1 Combine like terms: 5 + 1 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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