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Simplifying 6x + -5x + 30 = 2x + 10 + 5x + -20 Reorder the terms: 30 + 6x + -5x = 2x + 10 + 5x + -20 Combine like terms: 6x + -5x = 1x 30 + 1x = 2x + 10 + 5x + -20 Reorder the terms: 30 + 1x = 10 + -20 + 2x + 5x Combine like terms: 10 + -20 = -10 30 + 1x = -10 + 2x + 5x Combine like terms: 2x + 5x = 7x 30 + 1x = -10 + 7x Solving 30 + 1x = -10 + 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. 30 + 1x + -7x = -10 + 7x + -7x Combine like terms: 1x + -7x = -6x 30 + -6x = -10 + 7x + -7x Combine like terms: 7x + -7x = 0 30 + -6x = -10 + 0 30 + -6x = -10 Add '-30' to each side of the equation. 30 + -30 + -6x = -10 + -30 Combine like terms: 30 + -30 = 0 0 + -6x = -10 + -30 -6x = -10 + -30 Combine like terms: -10 + -30 = -40 -6x = -40 Divide each side by '-6'. x = 6.666666667 Simplifying x = 6.666666667
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