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Simplifying 0.25(28x + 12) + -17 = (-0.50)(8x + -8) Reorder the terms: 0.25(12 + 28x) + -17 = (-0.50)(8x + -8) (12 * 0.25 + 28x * 0.25) + -17 = (-0.50)(8x + -8) (3 + 7x) + -17 = (-0.50)(8x + -8) Reorder the terms: 3 + -17 + 7x = (-0.50)(8x + -8) Combine like terms: 3 + -17 = -14 -14 + 7x = (-0.50)(8x + -8) Reorder the terms: -14 + 7x = -0.50(-8 + 8x) -14 + 7x = (-8 * -0.50 + 8x * -0.50) -14 + 7x = (4 + -4x) Solving -14 + 7x = 4 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -14 + 7x + 4x = 4 + -4x + 4x Combine like terms: 7x + 4x = 11x -14 + 11x = 4 + -4x + 4x Combine like terms: -4x + 4x = 0 -14 + 11x = 4 + 0 -14 + 11x = 4 Add '14' to each side of the equation. -14 + 14 + 11x = 4 + 14 Combine like terms: -14 + 14 = 0 0 + 11x = 4 + 14 11x = 4 + 14 Combine like terms: 4 + 14 = 18 11x = 18 Divide each side by '11'. x = 1.636363636 Simplifying x = 1.636363636
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