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Simplifying 0.75x + 8 = 4x + -1.5 Reorder the terms: 8 + 0.75x = 4x + -1.5 Reorder the terms: 8 + 0.75x = -1.5 + 4x Solving 8 + 0.75x = -1.5 + 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. 8 + 0.75x + -4x = -1.5 + 4x + -4x Combine like terms: 0.75x + -4x = -3.25x 8 + -3.25x = -1.5 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + -3.25x = -1.5 + 0 8 + -3.25x = -1.5 Add '-8' to each side of the equation. 8 + -8 + -3.25x = -1.5 + -8 Combine like terms: 8 + -8 = 0 0 + -3.25x = -1.5 + -8 -3.25x = -1.5 + -8 Combine like terms: -1.5 + -8 = -9.5 -3.25x = -9.5 Divide each side by '-3.25'. x = 2.923076923 Simplifying x = 2.923076923
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