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Simplifying -0.75x + -0.25(2 + 7x) = -4.5 + 0.50x -0.75x + (2 * -0.25 + 7x * -0.25) = -4.5 + 0.50x -0.75x + (-0.5 + -1.75x) = -4.5 + 0.50x Reorder the terms: -0.5 + -0.75x + -1.75x = -4.5 + 0.50x Combine like terms: -0.75x + -1.75x = -2.5x -0.5 + -2.5x = -4.5 + 0.50x Solving -0.5 + -2.5x = -4.5 + 0.50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.50x' to each side of the equation. -0.5 + -2.5x + -0.50x = -4.5 + 0.50x + -0.50x Combine like terms: -2.5x + -0.50x = -3x -0.5 + -3x = -4.5 + 0.50x + -0.50x Combine like terms: 0.50x + -0.50x = 0.00 -0.5 + -3x = -4.5 + 0.00 -0.5 + -3x = -4.5 Add '0.5' to each side of the equation. -0.5 + 0.5 + -3x = -4.5 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + -3x = -4.5 + 0.5 -3x = -4.5 + 0.5 Combine like terms: -4.5 + 0.5 = -4 -3x = -4 Divide each side by '-3'. x = 1.333333333 Simplifying x = 1.333333333
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