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Simplifying -1x + 2 + 13x = -6 + 4x + 48 Reorder the terms: 2 + -1x + 13x = -6 + 4x + 48 Combine like terms: -1x + 13x = 12x 2 + 12x = -6 + 4x + 48 Reorder the terms: 2 + 12x = -6 + 48 + 4x Combine like terms: -6 + 48 = 42 2 + 12x = 42 + 4x Solving 2 + 12x = 42 + 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. 2 + 12x + -4x = 42 + 4x + -4x Combine like terms: 12x + -4x = 8x 2 + 8x = 42 + 4x + -4x Combine like terms: 4x + -4x = 0 2 + 8x = 42 + 0 2 + 8x = 42 Add '-2' to each side of the equation. 2 + -2 + 8x = 42 + -2 Combine like terms: 2 + -2 = 0 0 + 8x = 42 + -2 8x = 42 + -2 Combine like terms: 42 + -2 = 40 8x = 40 Divide each side by '8'. x = 5 Simplifying x = 5
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