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Simplifying 4x + 9 + -3x = 8 + 5x + -7 Reorder the terms: 9 + 4x + -3x = 8 + 5x + -7 Combine like terms: 4x + -3x = 1x 9 + 1x = 8 + 5x + -7 Reorder the terms: 9 + 1x = 8 + -7 + 5x Combine like terms: 8 + -7 = 1 9 + 1x = 1 + 5x Solving 9 + 1x = 1 + 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 = 1 + 5x + -5x Combine like terms: 1x + -5x = -4x 9 + -4x = 1 + 5x + -5x Combine like terms: 5x + -5x = 0 9 + -4x = 1 + 0 9 + -4x = 1 Add '-9' to each side of the equation. 9 + -9 + -4x = 1 + -9 Combine like terms: 9 + -9 = 0 0 + -4x = 1 + -9 -4x = 1 + -9 Combine like terms: 1 + -9 = -8 -4x = -8 Divide each side by '-4'. x = 2 Simplifying x = 2
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