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Simplifying 5x + -8 + 2x + -3 + x + 12 = 49 Reorder the terms: -8 + -3 + 12 + 5x + 2x + x = 49 Combine like terms: -8 + -3 = -11 -11 + 12 + 5x + 2x + x = 49 Combine like terms: -11 + 12 = 1 1 + 5x + 2x + x = 49 Combine like terms: 5x + 2x = 7x 1 + 7x + x = 49 Combine like terms: 7x + x = 8x 1 + 8x = 49 Solving 1 + 8x = 49 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 8x = 49 + -1 Combine like terms: 1 + -1 = 0 0 + 8x = 49 + -1 8x = 49 + -1 Combine like terms: 49 + -1 = 48 8x = 48 Divide each side by '8'. x = 6 Simplifying x = 6
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