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Simplifying -5x + -40 = -9x + 52 Reorder the terms: -40 + -5x = -9x + 52 Reorder the terms: -40 + -5x = 52 + -9x Solving -40 + -5x = 52 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -40 + -5x + 9x = 52 + -9x + 9x Combine like terms: -5x + 9x = 4x -40 + 4x = 52 + -9x + 9x Combine like terms: -9x + 9x = 0 -40 + 4x = 52 + 0 -40 + 4x = 52 Add '40' to each side of the equation. -40 + 40 + 4x = 52 + 40 Combine like terms: -40 + 40 = 0 0 + 4x = 52 + 40 4x = 52 + 40 Combine like terms: 52 + 40 = 92 4x = 92 Divide each side by '4'. x = 23 Simplifying x = 23
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