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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 = -2 -2 + 6x + -1x = 49 Combine like terms: 6x + -1x = 5x -2 + 5x = 49 Solving -2 + 5x = 49 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 5x = 49 + 2 Combine like terms: -2 + 2 = 0 0 + 5x = 49 + 2 5x = 49 + 2 Combine like terms: 49 + 2 = 51 5x = 51 Divide each side by '5'. x = 10.2 Simplifying x = 10.2
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