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Simplifying 5(3x + -1) = 12x + 7 Reorder the terms: 5(-1 + 3x) = 12x + 7 (-1 * 5 + 3x * 5) = 12x + 7 (-5 + 15x) = 12x + 7 Reorder the terms: -5 + 15x = 7 + 12x Solving -5 + 15x = 7 + 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. -5 + 15x + -12x = 7 + 12x + -12x Combine like terms: 15x + -12x = 3x -5 + 3x = 7 + 12x + -12x Combine like terms: 12x + -12x = 0 -5 + 3x = 7 + 0 -5 + 3x = 7 Add '5' to each side of the equation. -5 + 5 + 3x = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 3x = 7 + 5 3x = 7 + 5 Combine like terms: 7 + 5 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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