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