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Simplifying 4(x + -2) = -5(x + 4) + 45 Reorder the terms: 4(-2 + x) = -5(x + 4) + 45 (-2 * 4 + x * 4) = -5(x + 4) + 45 (-8 + 4x) = -5(x + 4) + 45 Reorder the terms: -8 + 4x = -5(4 + x) + 45 -8 + 4x = (4 * -5 + x * -5) + 45 -8 + 4x = (-20 + -5x) + 45 Reorder the terms: -8 + 4x = -20 + 45 + -5x Combine like terms: -20 + 45 = 25 -8 + 4x = 25 + -5x Solving -8 + 4x = 25 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -8 + 4x + 5x = 25 + -5x + 5x Combine like terms: 4x + 5x = 9x -8 + 9x = 25 + -5x + 5x Combine like terms: -5x + 5x = 0 -8 + 9x = 25 + 0 -8 + 9x = 25 Add '8' to each side of the equation. -8 + 8 + 9x = 25 + 8 Combine like terms: -8 + 8 = 0 0 + 9x = 25 + 8 9x = 25 + 8 Combine like terms: 25 + 8 = 33 9x = 33 Divide each side by '9'. x = 3.666666667 Simplifying x = 3.666666667
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