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Simplifying 15(x + -3) = 12x + 12 Reorder the terms: 15(-3 + x) = 12x + 12 (-3 * 15 + x * 15) = 12x + 12 (-45 + 15x) = 12x + 12 Reorder the terms: -45 + 15x = 12 + 12x Solving -45 + 15x = 12 + 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. -45 + 15x + -12x = 12 + 12x + -12x Combine like terms: 15x + -12x = 3x -45 + 3x = 12 + 12x + -12x Combine like terms: 12x + -12x = 0 -45 + 3x = 12 + 0 -45 + 3x = 12 Add '45' to each side of the equation. -45 + 45 + 3x = 12 + 45 Combine like terms: -45 + 45 = 0 0 + 3x = 12 + 45 3x = 12 + 45 Combine like terms: 12 + 45 = 57 3x = 57 Divide each side by '3'. x = 19 Simplifying x = 19
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