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Simplifying 3x + 7 + -2x = 21 + -5x + 34 Reorder the terms: 7 + 3x + -2x = 21 + -5x + 34 Combine like terms: 3x + -2x = 1x 7 + 1x = 21 + -5x + 34 Reorder the terms: 7 + 1x = 21 + 34 + -5x Combine like terms: 21 + 34 = 55 7 + 1x = 55 + -5x Solving 7 + 1x = 55 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 7 + 1x + 5x = 55 + -5x + 5x Combine like terms: 1x + 5x = 6x 7 + 6x = 55 + -5x + 5x Combine like terms: -5x + 5x = 0 7 + 6x = 55 + 0 7 + 6x = 55 Add '-7' to each side of the equation. 7 + -7 + 6x = 55 + -7 Combine like terms: 7 + -7 = 0 0 + 6x = 55 + -7 6x = 55 + -7 Combine like terms: 55 + -7 = 48 6x = 48 Divide each side by '6'. x = 8 Simplifying x = 8
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