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Simplifying 3x + -5x + 7 + -2 = 6x + -3 + -2x Reorder the terms: 7 + -2 + 3x + -5x = 6x + -3 + -2x Combine like terms: 7 + -2 = 5 5 + 3x + -5x = 6x + -3 + -2x Combine like terms: 3x + -5x = -2x 5 + -2x = 6x + -3 + -2x Reorder the terms: 5 + -2x = -3 + 6x + -2x Combine like terms: 6x + -2x = 4x 5 + -2x = -3 + 4x Solving 5 + -2x = -3 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 5 + -2x + -4x = -3 + 4x + -4x Combine like terms: -2x + -4x = -6x 5 + -6x = -3 + 4x + -4x Combine like terms: 4x + -4x = 0 5 + -6x = -3 + 0 5 + -6x = -3 Add '-5' to each side of the equation. 5 + -5 + -6x = -3 + -5 Combine like terms: 5 + -5 = 0 0 + -6x = -3 + -5 -6x = -3 + -5 Combine like terms: -3 + -5 = -8 -6x = -8 Divide each side by '-6'. x = 1.333333333 Simplifying x = 1.333333333
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