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Simplifying 10x + -30 = 10(0.75x) Reorder the terms: -30 + 10x = 10(0.75x) Remove parenthesis around (0.75x) -30 + 10x = 10 * 0.75x Multiply 10 * 0.75 -30 + 10x = 7.5x Solving -30 + 10x = 7.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.5x' to each side of the equation. -30 + 10x + -7.5x = 7.5x + -7.5x Combine like terms: 10x + -7.5x = 2.5x -30 + 2.5x = 7.5x + -7.5x Combine like terms: 7.5x + -7.5x = 0.0 -30 + 2.5x = 0.0 Add '30' to each side of the equation. -30 + 30 + 2.5x = 0.0 + 30 Combine like terms: -30 + 30 = 0 0 + 2.5x = 0.0 + 30 2.5x = 0.0 + 30 Combine like terms: 0.0 + 30 = 30 2.5x = 30 Divide each side by '2.5'. x = 12 Simplifying x = 12
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