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Simplifying 3(2x + -5) = 3(4x + 5) Reorder the terms: 3(-5 + 2x) = 3(4x + 5) (-5 * 3 + 2x * 3) = 3(4x + 5) (-15 + 6x) = 3(4x + 5) Reorder the terms: -15 + 6x = 3(5 + 4x) -15 + 6x = (5 * 3 + 4x * 3) -15 + 6x = (15 + 12x) Solving -15 + 6x = 15 + 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 + 6x + -12x = 15 + 12x + -12x Combine like terms: 6x + -12x = -6x -15 + -6x = 15 + 12x + -12x Combine like terms: 12x + -12x = 0 -15 + -6x = 15 + 0 -15 + -6x = 15 Add '15' to each side of the equation. -15 + 15 + -6x = 15 + 15 Combine like terms: -15 + 15 = 0 0 + -6x = 15 + 15 -6x = 15 + 15 Combine like terms: 15 + 15 = 30 -6x = 30 Divide each side by '-6'. x = -5 Simplifying x = -5
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