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Simplifying 3(4x + -5) = 12x + (3x + -3) Reorder the terms: 3(-5 + 4x) = 12x + (3x + -3) (-5 * 3 + 4x * 3) = 12x + (3x + -3) (-15 + 12x) = 12x + (3x + -3) Reorder the terms: -15 + 12x = 12x + (-3 + 3x) Remove parenthesis around (-3 + 3x) -15 + 12x = 12x + -3 + 3x Reorder the terms: -15 + 12x = -3 + 12x + 3x Combine like terms: 12x + 3x = 15x -15 + 12x = -3 + 15x Solving -15 + 12x = -3 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -15 + 12x + -15x = -3 + 15x + -15x Combine like terms: 12x + -15x = -3x -15 + -3x = -3 + 15x + -15x Combine like terms: 15x + -15x = 0 -15 + -3x = -3 + 0 -15 + -3x = -3 Add '15' to each side of the equation. -15 + 15 + -3x = -3 + 15 Combine like terms: -15 + 15 = 0 0 + -3x = -3 + 15 -3x = -3 + 15 Combine like terms: -3 + 15 = 12 -3x = 12 Divide each side by '-3'. x = -4 Simplifying x = -4
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