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Simplifying -1x + 3 + 12x = -4 + 4x + 49 Reorder the terms: 3 + -1x + 12x = -4 + 4x + 49 Combine like terms: -1x + 12x = 11x 3 + 11x = -4 + 4x + 49 Reorder the terms: 3 + 11x = -4 + 49 + 4x Combine like terms: -4 + 49 = 45 3 + 11x = 45 + 4x Solving 3 + 11x = 45 + 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. 3 + 11x + -4x = 45 + 4x + -4x Combine like terms: 11x + -4x = 7x 3 + 7x = 45 + 4x + -4x Combine like terms: 4x + -4x = 0 3 + 7x = 45 + 0 3 + 7x = 45 Add '-3' to each side of the equation. 3 + -3 + 7x = 45 + -3 Combine like terms: 3 + -3 = 0 0 + 7x = 45 + -3 7x = 45 + -3 Combine like terms: 45 + -3 = 42 7x = 42 Divide each side by '7'. x = 6 Simplifying x = 6
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