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Simplifying 8x + -7x + 9 = 5x + -4 + 4 + 5 Reorder the terms: 9 + 8x + -7x = 5x + -4 + 4 + 5 Combine like terms: 8x + -7x = 1x 9 + 1x = 5x + -4 + 4 + 5 Reorder the terms: 9 + 1x = -4 + 4 + 5 + 5x Combine like terms: -4 + 4 = 0 9 + 1x = 0 + 5 + 5x 9 + 1x = 5 + 5x Solving 9 + 1x = 5 + 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. 9 + 1x + -5x = 5 + 5x + -5x Combine like terms: 1x + -5x = -4x 9 + -4x = 5 + 5x + -5x Combine like terms: 5x + -5x = 0 9 + -4x = 5 + 0 9 + -4x = 5 Add '-9' to each side of the equation. 9 + -9 + -4x = 5 + -9 Combine like terms: 9 + -9 = 0 0 + -4x = 5 + -9 -4x = 5 + -9 Combine like terms: 5 + -9 = -4 -4x = -4 Divide each side by '-4'. x = 1 Simplifying x = 1
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