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Simplifying -5x + 2 = 8x + -7 Reorder the terms: 2 + -5x = 8x + -7 Reorder the terms: 2 + -5x = -7 + 8x Solving 2 + -5x = -7 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 2 + -5x + -8x = -7 + 8x + -8x Combine like terms: -5x + -8x = -13x 2 + -13x = -7 + 8x + -8x Combine like terms: 8x + -8x = 0 2 + -13x = -7 + 0 2 + -13x = -7 Add '-2' to each side of the equation. 2 + -2 + -13x = -7 + -2 Combine like terms: 2 + -2 = 0 0 + -13x = -7 + -2 -13x = -7 + -2 Combine like terms: -7 + -2 = -9 -13x = -9 Divide each side by '-13'. x = 0.6923076923 Simplifying x = 0.6923076923
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