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