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Simplifying 4x + 11 = 8x + 7 Reorder the terms: 11 + 4x = 8x + 7 Reorder the terms: 11 + 4x = 7 + 8x Solving 11 + 4x = 7 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 11 + 4x + -8x = 7 + 8x + -8x Combine like terms: 4x + -8x = -4x 11 + -4x = 7 + 8x + -8x Combine like terms: 8x + -8x = 0 11 + -4x = 7 + 0 11 + -4x = 7 Add '-11' to each side of the equation. 11 + -11 + -4x = 7 + -11 Combine like terms: 11 + -11 = 0 0 + -4x = 7 + -11 -4x = 7 + -11 Combine like terms: 7 + -11 = -4 -4x = -4 Divide each side by '-4'. x = 1 Simplifying x = 1
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