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Simplifying 1 + x + -5x = 8 + -1x + 4 + 1 Combine like terms: x + -5x = -4x 1 + -4x = 8 + -1x + 4 + 1 Reorder the terms: 1 + -4x = 8 + 4 + 1 + -1x Combine like terms: 8 + 4 = 12 1 + -4x = 12 + 1 + -1x Combine like terms: 12 + 1 = 13 1 + -4x = 13 + -1x Solving 1 + -4x = 13 + -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 + -4x + x = 13 + -1x + x Combine like terms: -4x + x = -3x 1 + -3x = 13 + -1x + x Combine like terms: -1x + x = 0 1 + -3x = 13 + 0 1 + -3x = 13 Add '-1' to each side of the equation. 1 + -1 + -3x = 13 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = 13 + -1 -3x = 13 + -1 Combine like terms: 13 + -1 = 12 -3x = 12 Divide each side by '-3'. x = -4 Simplifying x = -4
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