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Simplifying 0.25(8x + 20) + -9 = 0.50(14x + -14) Reorder the terms: 0.25(20 + 8x) + -9 = 0.50(14x + -14) (20 * 0.25 + 8x * 0.25) + -9 = 0.50(14x + -14) (5 + 2x) + -9 = 0.50(14x + -14) Reorder the terms: 5 + -9 + 2x = 0.50(14x + -14) Combine like terms: 5 + -9 = -4 -4 + 2x = 0.50(14x + -14) Reorder the terms: -4 + 2x = 0.50(-14 + 14x) -4 + 2x = (-14 * 0.50 + 14x * 0.50) -4 + 2x = (-7 + 7x) Solving -4 + 2x = -7 + 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. -4 + 2x + -7x = -7 + 7x + -7x Combine like terms: 2x + -7x = -5x -4 + -5x = -7 + 7x + -7x Combine like terms: 7x + -7x = 0 -4 + -5x = -7 + 0 -4 + -5x = -7 Add '4' to each side of the equation. -4 + 4 + -5x = -7 + 4 Combine like terms: -4 + 4 = 0 0 + -5x = -7 + 4 -5x = -7 + 4 Combine like terms: -7 + 4 = -3 -5x = -3 Divide each side by '-5'. x = 0.6 Simplifying x = 0.6
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