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Simplifying 4x + 8.25 = 8.5x + -1.5x + -3.75 Reorder the terms: 8.25 + 4x = 8.5x + -1.5x + -3.75 Reorder the terms: 8.25 + 4x = -3.75 + 8.5x + -1.5x Combine like terms: 8.5x + -1.5x = 7x 8.25 + 4x = -3.75 + 7x Solving 8.25 + 4x = -3.75 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 8.25 + 4x + -7x = -3.75 + 7x + -7x Combine like terms: 4x + -7x = -3x 8.25 + -3x = -3.75 + 7x + -7x Combine like terms: 7x + -7x = 0 8.25 + -3x = -3.75 + 0 8.25 + -3x = -3.75 Add '-8.25' to each side of the equation. 8.25 + -8.25 + -3x = -3.75 + -8.25 Combine like terms: 8.25 + -8.25 = 0.00 0.00 + -3x = -3.75 + -8.25 -3x = -3.75 + -8.25 Combine like terms: -3.75 + -8.25 = -12 -3x = -12 Divide each side by '-3'. x = 4 Simplifying x = 4
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