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