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Simplifying 7x + 1 = 5x + -6x + 4 Reorder the terms: 1 + 7x = 5x + -6x + 4 Reorder the terms: 1 + 7x = 4 + 5x + -6x Combine like terms: 5x + -6x = -1x 1 + 7x = 4 + -1x Solving 1 + 7x = 4 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 1 + 7x + x = 4 + -1x + x Combine like terms: 7x + x = 8x 1 + 8x = 4 + -1x + x Combine like terms: -1x + x = 0 1 + 8x = 4 + 0 1 + 8x = 4 Add '-1' to each side of the equation. 1 + -1 + 8x = 4 + -1 Combine like terms: 1 + -1 = 0 0 + 8x = 4 + -1 8x = 4 + -1 Combine like terms: 4 + -1 = 3 8x = 3 Divide each side by '8'. x = 0.375 Simplifying x = 0.375
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