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Simplifying 0.5(6x + -11 + 8x) = 0.25(4x + 4x + -16) Reorder the terms: 0.5(-11 + 6x + 8x) = 0.25(4x + 4x + -16) Combine like terms: 6x + 8x = 14x 0.5(-11 + 14x) = 0.25(4x + 4x + -16) (-11 * 0.5 + 14x * 0.5) = 0.25(4x + 4x + -16) (-5.5 + 7x) = 0.25(4x + 4x + -16) Reorder the terms: -5.5 + 7x = 0.25(-16 + 4x + 4x) Combine like terms: 4x + 4x = 8x -5.5 + 7x = 0.25(-16 + 8x) -5.5 + 7x = (-16 * 0.25 + 8x * 0.25) -5.5 + 7x = (-4 + 2x) Solving -5.5 + 7x = -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. -5.5 + 7x + -2x = -4 + 2x + -2x Combine like terms: 7x + -2x = 5x -5.5 + 5x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 -5.5 + 5x = -4 + 0 -5.5 + 5x = -4 Add '5.5' to each side of the equation. -5.5 + 5.5 + 5x = -4 + 5.5 Combine like terms: -5.5 + 5.5 = 0.0 0.0 + 5x = -4 + 5.5 5x = -4 + 5.5 Combine like terms: -4 + 5.5 = 1.5 5x = 1.5 Divide each side by '5'. x = 0.3 Simplifying x = 0.3
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