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Simplifying 2(4x + -5) = 4(-5x + 4.5) Reorder the terms: 2(-5 + 4x) = 4(-5x + 4.5) (-5 * 2 + 4x * 2) = 4(-5x + 4.5) (-10 + 8x) = 4(-5x + 4.5) Reorder the terms: -10 + 8x = 4(4.5 + -5x) -10 + 8x = (4.5 * 4 + -5x * 4) -10 + 8x = (18 + -20x) Solving -10 + 8x = 18 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. -10 + 8x + 20x = 18 + -20x + 20x Combine like terms: 8x + 20x = 28x -10 + 28x = 18 + -20x + 20x Combine like terms: -20x + 20x = 0 -10 + 28x = 18 + 0 -10 + 28x = 18 Add '10' to each side of the equation. -10 + 10 + 28x = 18 + 10 Combine like terms: -10 + 10 = 0 0 + 28x = 18 + 10 28x = 18 + 10 Combine like terms: 18 + 10 = 28 28x = 28 Divide each side by '28'. x = 1 Simplifying x = 1
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