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Simplifying 0.25(2x + 6) = 7x Reorder the terms: 0.25(6 + 2x) = 7x (6 * 0.25 + 2x * 0.25) = 7x (1.5 + 0.5x) = 7x Solving 1.5 + 0.5x = 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. 1.5 + 0.5x + -7x = 7x + -7x Combine like terms: 0.5x + -7x = -6.5x 1.5 + -6.5x = 7x + -7x Combine like terms: 7x + -7x = 0 1.5 + -6.5x = 0 Add '-1.5' to each side of the equation. 1.5 + -1.5 + -6.5x = 0 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -6.5x = 0 + -1.5 -6.5x = 0 + -1.5 Combine like terms: 0 + -1.5 = -1.5 -6.5x = -1.5 Divide each side by '-6.5'. x = 0.2307692308 Simplifying x = 0.2307692308
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