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Simplifying 0.75x + 3.5 = 2.5x + -7 Reorder the terms: 3.5 + 0.75x = 2.5x + -7 Reorder the terms: 3.5 + 0.75x = -7 + 2.5x Solving 3.5 + 0.75x = -7 + 2.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5x' to each side of the equation. 3.5 + 0.75x + -2.5x = -7 + 2.5x + -2.5x Combine like terms: 0.75x + -2.5x = -1.75x 3.5 + -1.75x = -7 + 2.5x + -2.5x Combine like terms: 2.5x + -2.5x = 0.0 3.5 + -1.75x = -7 + 0.0 3.5 + -1.75x = -7 Add '-3.5' to each side of the equation. 3.5 + -3.5 + -1.75x = -7 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + -1.75x = -7 + -3.5 -1.75x = -7 + -3.5 Combine like terms: -7 + -3.5 = -10.5 -1.75x = -10.5 Divide each side by '-1.75'. x = 6 Simplifying x = 6
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