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Simplifying 1 + 4x = 7 + x + 1 + -4x Reorder the terms: 1 + 4x = 7 + 1 + x + -4x Combine like terms: 7 + 1 = 8 1 + 4x = 8 + x + -4x Combine like terms: x + -4x = -3x 1 + 4x = 8 + -3x Solving 1 + 4x = 8 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 1 + 4x + 3x = 8 + -3x + 3x Combine like terms: 4x + 3x = 7x 1 + 7x = 8 + -3x + 3x Combine like terms: -3x + 3x = 0 1 + 7x = 8 + 0 1 + 7x = 8 Add '-1' to each side of the equation. 1 + -1 + 7x = 8 + -1 Combine like terms: 1 + -1 = 0 0 + 7x = 8 + -1 7x = 8 + -1 Combine like terms: 8 + -1 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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