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Simplifying 0.5(x + -24) = 1 + 7x Reorder the terms: 0.5(-24 + x) = 1 + 7x (-24 * 0.5 + x * 0.5) = 1 + 7x (-12 + 0.5x) = 1 + 7x Solving -12 + 0.5x = 1 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -12 + 0.5x + -7x = 1 + 7x + -7x Combine like terms: 0.5x + -7x = -6.5x -12 + -6.5x = 1 + 7x + -7x Combine like terms: 7x + -7x = 0 -12 + -6.5x = 1 + 0 -12 + -6.5x = 1 Add '12' to each side of the equation. -12 + 12 + -6.5x = 1 + 12 Combine like terms: -12 + 12 = 0 0 + -6.5x = 1 + 12 -6.5x = 1 + 12 Combine like terms: 1 + 12 = 13 -6.5x = 13 Divide each side by '-6.5'. x = -2 Simplifying x = -2
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