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Simplifying 3(4x + -5) = 2(x + 3) Reorder the terms: 3(-5 + 4x) = 2(x + 3) (-5 * 3 + 4x * 3) = 2(x + 3) (-15 + 12x) = 2(x + 3) Reorder the terms: -15 + 12x = 2(3 + x) -15 + 12x = (3 * 2 + x * 2) -15 + 12x = (6 + 2x) Solving -15 + 12x = 6 + 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 = 6 + 2x + -2x Combine like terms: 12x + -2x = 10x -15 + 10x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 -15 + 10x = 6 + 0 -15 + 10x = 6 Add '15' to each side of the equation. -15 + 15 + 10x = 6 + 15 Combine like terms: -15 + 15 = 0 0 + 10x = 6 + 15 10x = 6 + 15 Combine like terms: 6 + 15 = 21 10x = 21 Divide each side by '10'. x = 2.1 Simplifying x = 2.1
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