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Simplifying -4(2x + 5) + 3x = 5(-2x + 6) Reorder the terms: -4(5 + 2x) + 3x = 5(-2x + 6) (5 * -4 + 2x * -4) + 3x = 5(-2x + 6) (-20 + -8x) + 3x = 5(-2x + 6) Combine like terms: -8x + 3x = -5x -20 + -5x = 5(-2x + 6) Reorder the terms: -20 + -5x = 5(6 + -2x) -20 + -5x = (6 * 5 + -2x * 5) -20 + -5x = (30 + -10x) Solving -20 + -5x = 30 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -20 + -5x + 10x = 30 + -10x + 10x Combine like terms: -5x + 10x = 5x -20 + 5x = 30 + -10x + 10x Combine like terms: -10x + 10x = 0 -20 + 5x = 30 + 0 -20 + 5x = 30 Add '20' to each side of the equation. -20 + 20 + 5x = 30 + 20 Combine like terms: -20 + 20 = 0 0 + 5x = 30 + 20 5x = 30 + 20 Combine like terms: 30 + 20 = 50 5x = 50 Divide each side by '5'. x = 10 Simplifying x = 10
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