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Simplifying 5(2x + -3) = 7 + -4x Reorder the terms: 5(-3 + 2x) = 7 + -4x (-3 * 5 + 2x * 5) = 7 + -4x (-15 + 10x) = 7 + -4x Solving -15 + 10x = 7 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -15 + 10x + 4x = 7 + -4x + 4x Combine like terms: 10x + 4x = 14x -15 + 14x = 7 + -4x + 4x Combine like terms: -4x + 4x = 0 -15 + 14x = 7 + 0 -15 + 14x = 7 Add '15' to each side of the equation. -15 + 15 + 14x = 7 + 15 Combine like terms: -15 + 15 = 0 0 + 14x = 7 + 15 14x = 7 + 15 Combine like terms: 7 + 15 = 22 14x = 22 Divide each side by '14'. x = 1.571428571 Simplifying x = 1.571428571
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