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Simplifying 0.25(8x + 4) + -17 = -0.5(4x + -8) Reorder the terms: 0.25(4 + 8x) + -17 = -0.5(4x + -8) (4 * 0.25 + 8x * 0.25) + -17 = -0.5(4x + -8) (1 + 2x) + -17 = -0.5(4x + -8) Reorder the terms: 1 + -17 + 2x = -0.5(4x + -8) Combine like terms: 1 + -17 = -16 -16 + 2x = -0.5(4x + -8) Reorder the terms: -16 + 2x = -0.5(-8 + 4x) -16 + 2x = (-8 * -0.5 + 4x * -0.5) -16 + 2x = (4 + -2x) Solving -16 + 2x = 4 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -16 + 2x + 2x = 4 + -2x + 2x Combine like terms: 2x + 2x = 4x -16 + 4x = 4 + -2x + 2x Combine like terms: -2x + 2x = 0 -16 + 4x = 4 + 0 -16 + 4x = 4 Add '16' to each side of the equation. -16 + 16 + 4x = 4 + 16 Combine like terms: -16 + 16 = 0 0 + 4x = 4 + 16 4x = 4 + 16 Combine like terms: 4 + 16 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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