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Simplifying 6.5(x + -2) = -0.5x + 29 Reorder the terms: 6.5(-2 + x) = -0.5x + 29 (-2 * 6.5 + x * 6.5) = -0.5x + 29 (-13 + 6.5x) = -0.5x + 29 Reorder the terms: -13 + 6.5x = 29 + -0.5x Solving -13 + 6.5x = 29 + -0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5x' to each side of the equation. -13 + 6.5x + 0.5x = 29 + -0.5x + 0.5x Combine like terms: 6.5x + 0.5x = 7x -13 + 7x = 29 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 -13 + 7x = 29 + 0.0 -13 + 7x = 29 Add '13' to each side of the equation. -13 + 13 + 7x = 29 + 13 Combine like terms: -13 + 13 = 0 0 + 7x = 29 + 13 7x = 29 + 13 Combine like terms: 29 + 13 = 42 7x = 42 Divide each side by '7'. x = 6 Simplifying x = 6
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