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Simplifying 14 + 10 + x = 3x + 2x + -6 + 2x Combine like terms: 14 + 10 = 24 24 + x = 3x + 2x + -6 + 2x Reorder the terms: 24 + x = -6 + 3x + 2x + 2x Combine like terms: 3x + 2x = 5x 24 + x = -6 + 5x + 2x Combine like terms: 5x + 2x = 7x 24 + x = -6 + 7x Solving 24 + x = -6 + 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. 24 + x + -7x = -6 + 7x + -7x Combine like terms: x + -7x = -6x 24 + -6x = -6 + 7x + -7x Combine like terms: 7x + -7x = 0 24 + -6x = -6 + 0 24 + -6x = -6 Add '-24' to each side of the equation. 24 + -24 + -6x = -6 + -24 Combine like terms: 24 + -24 = 0 0 + -6x = -6 + -24 -6x = -6 + -24 Combine like terms: -6 + -24 = -30 -6x = -30 Divide each side by '-6'. x = 5 Simplifying x = 5
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