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Simplifying 2x + 3(4x + -32) = 3x + -45 Reorder the terms: 2x + 3(-32 + 4x) = 3x + -45 2x + (-32 * 3 + 4x * 3) = 3x + -45 2x + (-96 + 12x) = 3x + -45 Reorder the terms: -96 + 2x + 12x = 3x + -45 Combine like terms: 2x + 12x = 14x -96 + 14x = 3x + -45 Reorder the terms: -96 + 14x = -45 + 3x Solving -96 + 14x = -45 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -96 + 14x + -3x = -45 + 3x + -3x Combine like terms: 14x + -3x = 11x -96 + 11x = -45 + 3x + -3x Combine like terms: 3x + -3x = 0 -96 + 11x = -45 + 0 -96 + 11x = -45 Add '96' to each side of the equation. -96 + 96 + 11x = -45 + 96 Combine like terms: -96 + 96 = 0 0 + 11x = -45 + 96 11x = -45 + 96 Combine like terms: -45 + 96 = 51 11x = 51 Divide each side by '11'. x = 4.636363636 Simplifying x = 4.636363636
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