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Simplifying -1x + 5 + 14x = -4 + 4x + 18 Reorder the terms: 5 + -1x + 14x = -4 + 4x + 18 Combine like terms: -1x + 14x = 13x 5 + 13x = -4 + 4x + 18 Reorder the terms: 5 + 13x = -4 + 18 + 4x Combine like terms: -4 + 18 = 14 5 + 13x = 14 + 4x Solving 5 + 13x = 14 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 5 + 13x + -4x = 14 + 4x + -4x Combine like terms: 13x + -4x = 9x 5 + 9x = 14 + 4x + -4x Combine like terms: 4x + -4x = 0 5 + 9x = 14 + 0 5 + 9x = 14 Add '-5' to each side of the equation. 5 + -5 + 9x = 14 + -5 Combine like terms: 5 + -5 = 0 0 + 9x = 14 + -5 9x = 14 + -5 Combine like terms: 14 + -5 = 9 9x = 9 Divide each side by '9'. x = 1 Simplifying x = 1
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