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Simplifying 5(x + 7) = 6(3.75x) Reorder the terms: 5(7 + x) = 6(3.75x) (7 * 5 + x * 5) = 6(3.75x) (35 + 5x) = 6(3.75x) Remove parenthesis around (3.75x) 35 + 5x = 6 * 3.75x Multiply 6 * 3.75 35 + 5x = 22.5x Solving 35 + 5x = 22.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22.5x' to each side of the equation. 35 + 5x + -22.5x = 22.5x + -22.5x Combine like terms: 5x + -22.5x = -17.5x 35 + -17.5x = 22.5x + -22.5x Combine like terms: 22.5x + -22.5x = 0.0 35 + -17.5x = 0.0 Add '-35' to each side of the equation. 35 + -35 + -17.5x = 0.0 + -35 Combine like terms: 35 + -35 = 0 0 + -17.5x = 0.0 + -35 -17.5x = 0.0 + -35 Combine like terms: 0.0 + -35 = -35 -17.5x = -35 Divide each side by '-17.5'. x = 2 Simplifying x = 2
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