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Simplifying 3x + 6 = 4x + 30 + -5x Reorder the terms: 6 + 3x = 4x + 30 + -5x Reorder the terms: 6 + 3x = 30 + 4x + -5x Combine like terms: 4x + -5x = -1x 6 + 3x = 30 + -1x Solving 6 + 3x = 30 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 6 + 3x + x = 30 + -1x + x Combine like terms: 3x + x = 4x 6 + 4x = 30 + -1x + x Combine like terms: -1x + x = 0 6 + 4x = 30 + 0 6 + 4x = 30 Add '-6' to each side of the equation. 6 + -6 + 4x = 30 + -6 Combine like terms: 6 + -6 = 0 0 + 4x = 30 + -6 4x = 30 + -6 Combine like terms: 30 + -6 = 24 4x = 24 Divide each side by '4'. x = 6 Simplifying x = 6
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