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Simplifying 8x + 5 + -5x = 10 + 4x + -6 Reorder the terms: 5 + 8x + -5x = 10 + 4x + -6 Combine like terms: 8x + -5x = 3x 5 + 3x = 10 + 4x + -6 Reorder the terms: 5 + 3x = 10 + -6 + 4x Combine like terms: 10 + -6 = 4 5 + 3x = 4 + 4x Solving 5 + 3x = 4 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 5 + 3x + -4x = 4 + 4x + -4x Combine like terms: 3x + -4x = -1x 5 + -1x = 4 + 4x + -4x Combine like terms: 4x + -4x = 0 5 + -1x = 4 + 0 5 + -1x = 4 Add '-5' to each side of the equation. 5 + -5 + -1x = 4 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 4 + -5 -1x = 4 + -5 Combine like terms: 4 + -5 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1
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