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Simplifying 2x + 4x + 6x + 8x + 10 = 40 + 6x Reorder the terms: 10 + 2x + 4x + 6x + 8x = 40 + 6x Combine like terms: 2x + 4x = 6x 10 + 6x + 6x + 8x = 40 + 6x Combine like terms: 6x + 6x = 12x 10 + 12x + 8x = 40 + 6x Combine like terms: 12x + 8x = 20x 10 + 20x = 40 + 6x Solving 10 + 20x = 40 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 10 + 20x + -6x = 40 + 6x + -6x Combine like terms: 20x + -6x = 14x 10 + 14x = 40 + 6x + -6x Combine like terms: 6x + -6x = 0 10 + 14x = 40 + 0 10 + 14x = 40 Add '-10' to each side of the equation. 10 + -10 + 14x = 40 + -10 Combine like terms: 10 + -10 = 0 0 + 14x = 40 + -10 14x = 40 + -10 Combine like terms: 40 + -10 = 30 14x = 30 Divide each side by '14'. x = 2.142857143 Simplifying x = 2.142857143
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