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Simplifying 3(4x + -5) = 6 + (2x + 9) Reorder the terms: 3(-5 + 4x) = 6 + (2x + 9) (-5 * 3 + 4x * 3) = 6 + (2x + 9) (-15 + 12x) = 6 + (2x + 9) Reorder the terms: -15 + 12x = 6 + (9 + 2x) Remove parenthesis around (9 + 2x) -15 + 12x = 6 + 9 + 2x Combine like terms: 6 + 9 = 15 -15 + 12x = 15 + 2x Solving -15 + 12x = 15 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -15 + 12x + -2x = 15 + 2x + -2x Combine like terms: 12x + -2x = 10x -15 + 10x = 15 + 2x + -2x Combine like terms: 2x + -2x = 0 -15 + 10x = 15 + 0 -15 + 10x = 15 Add '15' to each side of the equation. -15 + 15 + 10x = 15 + 15 Combine like terms: -15 + 15 = 0 0 + 10x = 15 + 15 10x = 15 + 15 Combine like terms: 15 + 15 = 30 10x = 30 Divide each side by '10'. x = 3 Simplifying x = 3
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