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Simplifying 3x + 5 + 2x = 3x + -7 + 6x Reorder the terms: 5 + 3x + 2x = 3x + -7 + 6x Combine like terms: 3x + 2x = 5x 5 + 5x = 3x + -7 + 6x Reorder the terms: 5 + 5x = -7 + 3x + 6x Combine like terms: 3x + 6x = 9x 5 + 5x = -7 + 9x Solving 5 + 5x = -7 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 5 + 5x + -9x = -7 + 9x + -9x Combine like terms: 5x + -9x = -4x 5 + -4x = -7 + 9x + -9x Combine like terms: 9x + -9x = 0 5 + -4x = -7 + 0 5 + -4x = -7 Add '-5' to each side of the equation. 5 + -5 + -4x = -7 + -5 Combine like terms: 5 + -5 = 0 0 + -4x = -7 + -5 -4x = -7 + -5 Combine like terms: -7 + -5 = -12 -4x = -12 Divide each side by '-4'. x = 3 Simplifying x = 3
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