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Simplifying -14x + 21 = 24x + 6 Reorder the terms: 21 + -14x = 24x + 6 Reorder the terms: 21 + -14x = 6 + 24x Solving 21 + -14x = 6 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 21 + -14x + -24x = 6 + 24x + -24x Combine like terms: -14x + -24x = -38x 21 + -38x = 6 + 24x + -24x Combine like terms: 24x + -24x = 0 21 + -38x = 6 + 0 21 + -38x = 6 Add '-21' to each side of the equation. 21 + -21 + -38x = 6 + -21 Combine like terms: 21 + -21 = 0 0 + -38x = 6 + -21 -38x = 6 + -21 Combine like terms: 6 + -21 = -15 -38x = -15 Divide each side by '-38'. x = 0.3947368421 Simplifying x = 0.3947368421
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