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Simplifying 0.5(12x + -2) = 5x + -7 Reorder the terms: 0.5(-2 + 12x) = 5x + -7 (-2 * 0.5 + 12x * 0.5) = 5x + -7 (-1 + 6x) = 5x + -7 Reorder the terms: -1 + 6x = -7 + 5x Solving -1 + 6x = -7 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -1 + 6x + -5x = -7 + 5x + -5x Combine like terms: 6x + -5x = 1x -1 + 1x = -7 + 5x + -5x Combine like terms: 5x + -5x = 0 -1 + 1x = -7 + 0 -1 + 1x = -7 Add '1' to each side of the equation. -1 + 1 + 1x = -7 + 1 Combine like terms: -1 + 1 = 0 0 + 1x = -7 + 1 1x = -7 + 1 Combine like terms: -7 + 1 = -6 1x = -6 Divide each side by '1'. x = -6 Simplifying x = -6
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