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Simplifying 8 + 5x + -1x = 14x + -3x + 1 Combine like terms: 5x + -1x = 4x 8 + 4x = 14x + -3x + 1 Reorder the terms: 8 + 4x = 1 + 14x + -3x Combine like terms: 14x + -3x = 11x 8 + 4x = 1 + 11x Solving 8 + 4x = 1 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 8 + 4x + -11x = 1 + 11x + -11x Combine like terms: 4x + -11x = -7x 8 + -7x = 1 + 11x + -11x Combine like terms: 11x + -11x = 0 8 + -7x = 1 + 0 8 + -7x = 1 Add '-8' to each side of the equation. 8 + -8 + -7x = 1 + -8 Combine like terms: 8 + -8 = 0 0 + -7x = 1 + -8 -7x = 1 + -8 Combine like terms: 1 + -8 = -7 -7x = -7 Divide each side by '-7'. x = 1 Simplifying x = 1
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