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Simplifying x + 1 + 4x = 11 + 12x + -3 Reorder the terms: 1 + x + 4x = 11 + 12x + -3 Combine like terms: x + 4x = 5x 1 + 5x = 11 + 12x + -3 Reorder the terms: 1 + 5x = 11 + -3 + 12x Combine like terms: 11 + -3 = 8 1 + 5x = 8 + 12x Solving 1 + 5x = 8 + 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 + 5x + -12x = 8 + 12x + -12x Combine like terms: 5x + -12x = -7x 1 + -7x = 8 + 12x + -12x Combine like terms: 12x + -12x = 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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