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Simplifying 0.5(7x + -2) = 0.2(5x + -2) Reorder the terms: 0.5(-2 + 7x) = 0.2(5x + -2) (-2 * 0.5 + 7x * 0.5) = 0.2(5x + -2) (-1 + 3.5x) = 0.2(5x + -2) Reorder the terms: -1 + 3.5x = 0.2(-2 + 5x) -1 + 3.5x = (-2 * 0.2 + 5x * 0.2) -1 + 3.5x = (-0.4 + 1x) Solving -1 + 3.5x = -0.4 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -1 + 3.5x + -1x = -0.4 + 1x + -1x Combine like terms: 3.5x + -1x = 2.5x -1 + 2.5x = -0.4 + 1x + -1x Combine like terms: 1x + -1x = 0 -1 + 2.5x = -0.4 + 0 -1 + 2.5x = -0.4 Add '1' to each side of the equation. -1 + 1 + 2.5x = -0.4 + 1 Combine like terms: -1 + 1 = 0 0 + 2.5x = -0.4 + 1 2.5x = -0.4 + 1 Combine like terms: -0.4 + 1 = 0.6 2.5x = 0.6 Divide each side by '2.5'. x = 0.24 Simplifying x = 0.24
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