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Simplifying -0.5(7x + 4) + 0.2(5x + -15) = 0 Reorder the terms: -0.5(4 + 7x) + 0.2(5x + -15) = 0 (4 * -0.5 + 7x * -0.5) + 0.2(5x + -15) = 0 (-2 + -3.5x) + 0.2(5x + -15) = 0 Reorder the terms: -2 + -3.5x + 0.2(-15 + 5x) = 0 -2 + -3.5x + (-15 * 0.2 + 5x * 0.2) = 0 -2 + -3.5x + (-3 + 1x) = 0 Reorder the terms: -2 + -3 + -3.5x + 1x = 0 Combine like terms: -2 + -3 = -5 -5 + -3.5x + 1x = 0 Combine like terms: -3.5x + 1x = -2.5x -5 + -2.5x = 0 Solving -5 + -2.5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -2.5x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2.5x = 0 + 5 -2.5x = 0 + 5 Combine like terms: 0 + 5 = 5 -2.5x = 5 Divide each side by '-2.5'. x = -2 Simplifying x = -2
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