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Simplifying 0.5(17x + -2) = 9x + -7 Reorder the terms: 0.5(-2 + 17x) = 9x + -7 (-2 * 0.5 + 17x * 0.5) = 9x + -7 (-1 + 8.5x) = 9x + -7 Reorder the terms: -1 + 8.5x = -7 + 9x Solving -1 + 8.5x = -7 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -1 + 8.5x + -9x = -7 + 9x + -9x Combine like terms: 8.5x + -9x = -0.5x -1 + -0.5x = -7 + 9x + -9x Combine like terms: 9x + -9x = 0 -1 + -0.5x = -7 + 0 -1 + -0.5x = -7 Add '1' to each side of the equation. -1 + 1 + -0.5x = -7 + 1 Combine like terms: -1 + 1 = 0 0 + -0.5x = -7 + 1 -0.5x = -7 + 1 Combine like terms: -7 + 1 = -6 -0.5x = -6 Divide each side by '-0.5'. x = 12 Simplifying x = 12
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