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Simplifying -3x + 2 = 5x + -7 Reorder the terms: 2 + -3x = 5x + -7 Reorder the terms: 2 + -3x = -7 + 5x Solving 2 + -3x = -7 + 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. 2 + -3x + -5x = -7 + 5x + -5x Combine like terms: -3x + -5x = -8x 2 + -8x = -7 + 5x + -5x Combine like terms: 5x + -5x = 0 2 + -8x = -7 + 0 2 + -8x = -7 Add '-2' to each side of the equation. 2 + -2 + -8x = -7 + -2 Combine like terms: 2 + -2 = 0 0 + -8x = -7 + -2 -8x = -7 + -2 Combine like terms: -7 + -2 = -9 -8x = -9 Divide each side by '-8'. x = 1.125 Simplifying x = 1.125
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