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Simplifying 0.25(8x + 4) + -17 = 0.5(14x + -8) Reorder the terms: 0.25(4 + 8x) + -17 = 0.5(14x + -8) (4 * 0.25 + 8x * 0.25) + -17 = 0.5(14x + -8) (1 + 2x) + -17 = 0.5(14x + -8) Reorder the terms: 1 + -17 + 2x = 0.5(14x + -8) Combine like terms: 1 + -17 = -16 -16 + 2x = 0.5(14x + -8) Reorder the terms: -16 + 2x = 0.5(-8 + 14x) -16 + 2x = (-8 * 0.5 + 14x * 0.5) -16 + 2x = (-4 + 7x) Solving -16 + 2x = -4 + 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. -16 + 2x + -7x = -4 + 7x + -7x Combine like terms: 2x + -7x = -5x -16 + -5x = -4 + 7x + -7x Combine like terms: 7x + -7x = 0 -16 + -5x = -4 + 0 -16 + -5x = -4 Add '16' to each side of the equation. -16 + 16 + -5x = -4 + 16 Combine like terms: -16 + 16 = 0 0 + -5x = -4 + 16 -5x = -4 + 16 Combine like terms: -4 + 16 = 12 -5x = 12 Divide each side by '-5'. x = -2.4 Simplifying x = -2.4
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