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Simplifying 7x + 1 + 4x = 5 + 1 + 4x + 8x Reorder the terms: 1 + 7x + 4x = 5 + 1 + 4x + 8x Combine like terms: 7x + 4x = 11x 1 + 11x = 5 + 1 + 4x + 8x Combine like terms: 5 + 1 = 6 1 + 11x = 6 + 4x + 8x Combine like terms: 4x + 8x = 12x 1 + 11x = 6 + 12x Solving 1 + 11x = 6 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 1 + 11x + -12x = 6 + 12x + -12x Combine like terms: 11x + -12x = -1x 1 + -1x = 6 + 12x + -12x Combine like terms: 12x + -12x = 0 1 + -1x = 6 + 0 1 + -1x = 6 Add '-1' to each side of the equation. 1 + -1 + -1x = 6 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 6 + -1 -1x = 6 + -1 Combine like terms: 6 + -1 = 5 -1x = 5 Divide each side by '-1'. x = -5 Simplifying x = -5
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