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Simplifying -1x + 1 + 13x = -7 + 4x + 24 Reorder the terms: 1 + -1x + 13x = -7 + 4x + 24 Combine like terms: -1x + 13x = 12x 1 + 12x = -7 + 4x + 24 Reorder the terms: 1 + 12x = -7 + 24 + 4x Combine like terms: -7 + 24 = 17 1 + 12x = 17 + 4x Solving 1 + 12x = 17 + 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. 1 + 12x + -4x = 17 + 4x + -4x Combine like terms: 12x + -4x = 8x 1 + 8x = 17 + 4x + -4x Combine like terms: 4x + -4x = 0 1 + 8x = 17 + 0 1 + 8x = 17 Add '-1' to each side of the equation. 1 + -1 + 8x = 17 + -1 Combine like terms: 1 + -1 = 0 0 + 8x = 17 + -1 8x = 17 + -1 Combine like terms: 17 + -1 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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