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Simplifying 5x + 10 + 20 = 8x + -6 Reorder the terms: 10 + 20 + 5x = 8x + -6 Combine like terms: 10 + 20 = 30 30 + 5x = 8x + -6 Reorder the terms: 30 + 5x = -6 + 8x Solving 30 + 5x = -6 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 30 + 5x + -8x = -6 + 8x + -8x Combine like terms: 5x + -8x = -3x 30 + -3x = -6 + 8x + -8x Combine like terms: 8x + -8x = 0 30 + -3x = -6 + 0 30 + -3x = -6 Add '-30' to each side of the equation. 30 + -30 + -3x = -6 + -30 Combine like terms: 30 + -30 = 0 0 + -3x = -6 + -30 -3x = -6 + -30 Combine like terms: -6 + -30 = -36 -3x = -36 Divide each side by '-3'. x = 12 Simplifying x = 12
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