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Simplifying 1 + 6x + -0.5(2x + -6) = 49 Reorder the terms: 1 + 6x + -0.5(-6 + 2x) = 49 1 + 6x + (-6 * -0.5 + 2x * -0.5) = 49 1 + 6x + (3 + -1x) = 49 Reorder the terms: 1 + 3 + 6x + -1x = 49 Combine like terms: 1 + 3 = 4 4 + 6x + -1x = 49 Combine like terms: 6x + -1x = 5x 4 + 5x = 49 Solving 4 + 5x = 49 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 5x = 49 + -4 Combine like terms: 4 + -4 = 0 0 + 5x = 49 + -4 5x = 49 + -4 Combine like terms: 49 + -4 = 45 5x = 45 Divide each side by '5'. x = 9 Simplifying x = 9
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