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Simplifying 3(4x + 7) = 2.5x + 6 Reorder the terms: 3(7 + 4x) = 2.5x + 6 (7 * 3 + 4x * 3) = 2.5x + 6 (21 + 12x) = 2.5x + 6 Reorder the terms: 21 + 12x = 6 + 2.5x Solving 21 + 12x = 6 + 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. 21 + 12x + -2.5x = 6 + 2.5x + -2.5x Combine like terms: 12x + -2.5x = 9.5x 21 + 9.5x = 6 + 2.5x + -2.5x Combine like terms: 2.5x + -2.5x = 0.0 21 + 9.5x = 6 + 0.0 21 + 9.5x = 6 Add '-21' to each side of the equation. 21 + -21 + 9.5x = 6 + -21 Combine like terms: 21 + -21 = 0 0 + 9.5x = 6 + -21 9.5x = 6 + -21 Combine like terms: 6 + -21 = -15 9.5x = -15 Divide each side by '9.5'. x = -1.578947368 Simplifying x = -1.578947368
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