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Simplifying 15(x + -1) = 12x + 36 Reorder the terms: 15(-1 + x) = 12x + 36 (-1 * 15 + x * 15) = 12x + 36 (-15 + 15x) = 12x + 36 Reorder the terms: -15 + 15x = 36 + 12x Solving -15 + 15x = 36 + 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. -15 + 15x + -12x = 36 + 12x + -12x Combine like terms: 15x + -12x = 3x -15 + 3x = 36 + 12x + -12x Combine like terms: 12x + -12x = 0 -15 + 3x = 36 + 0 -15 + 3x = 36 Add '15' to each side of the equation. -15 + 15 + 3x = 36 + 15 Combine like terms: -15 + 15 = 0 0 + 3x = 36 + 15 3x = 36 + 15 Combine like terms: 36 + 15 = 51 3x = 51 Divide each side by '3'. x = 17 Simplifying x = 17
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