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Simplifying 9(2x + -4) = 5(5x + -3) Reorder the terms: 9(-4 + 2x) = 5(5x + -3) (-4 * 9 + 2x * 9) = 5(5x + -3) (-36 + 18x) = 5(5x + -3) Reorder the terms: -36 + 18x = 5(-3 + 5x) -36 + 18x = (-3 * 5 + 5x * 5) -36 + 18x = (-15 + 25x) Solving -36 + 18x = -15 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. -36 + 18x + -25x = -15 + 25x + -25x Combine like terms: 18x + -25x = -7x -36 + -7x = -15 + 25x + -25x Combine like terms: 25x + -25x = 0 -36 + -7x = -15 + 0 -36 + -7x = -15 Add '36' to each side of the equation. -36 + 36 + -7x = -15 + 36 Combine like terms: -36 + 36 = 0 0 + -7x = -15 + 36 -7x = -15 + 36 Combine like terms: -15 + 36 = 21 -7x = 21 Divide each side by '-7'. x = -3 Simplifying x = -3
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