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Simplifying -0.5(2 + 4x) = 7(-2 + -4x) (2 * -0.5 + 4x * -0.5) = 7(-2 + -4x) (-1 + -2x) = 7(-2 + -4x) -1 + -2x = (-2 * 7 + -4x * 7) -1 + -2x = (-14 + -28x) Solving -1 + -2x = -14 + -28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28x' to each side of the equation. -1 + -2x + 28x = -14 + -28x + 28x Combine like terms: -2x + 28x = 26x -1 + 26x = -14 + -28x + 28x Combine like terms: -28x + 28x = 0 -1 + 26x = -14 + 0 -1 + 26x = -14 Add '1' to each side of the equation. -1 + 1 + 26x = -14 + 1 Combine like terms: -1 + 1 = 0 0 + 26x = -14 + 1 26x = -14 + 1 Combine like terms: -14 + 1 = -13 26x = -13 Divide each side by '26'. x = -0.5 Simplifying x = -0.5
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