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Simplifying -1x + 3 + 14x = -5 + 5x + 24 Reorder the terms: 3 + -1x + 14x = -5 + 5x + 24 Combine like terms: -1x + 14x = 13x 3 + 13x = -5 + 5x + 24 Reorder the terms: 3 + 13x = -5 + 24 + 5x Combine like terms: -5 + 24 = 19 3 + 13x = 19 + 5x Solving 3 + 13x = 19 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 3 + 13x + -5x = 19 + 5x + -5x Combine like terms: 13x + -5x = 8x 3 + 8x = 19 + 5x + -5x Combine like terms: 5x + -5x = 0 3 + 8x = 19 + 0 3 + 8x = 19 Add '-3' to each side of the equation. 3 + -3 + 8x = 19 + -3 Combine like terms: 3 + -3 = 0 0 + 8x = 19 + -3 8x = 19 + -3 Combine like terms: 19 + -3 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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