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Simplifying 5x + 7 + -2x = 8x + -13 Reorder the terms: 7 + 5x + -2x = 8x + -13 Combine like terms: 5x + -2x = 3x 7 + 3x = 8x + -13 Reorder the terms: 7 + 3x = -13 + 8x Solving 7 + 3x = -13 + 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. 7 + 3x + -8x = -13 + 8x + -8x Combine like terms: 3x + -8x = -5x 7 + -5x = -13 + 8x + -8x Combine like terms: 8x + -8x = 0 7 + -5x = -13 + 0 7 + -5x = -13 Add '-7' to each side of the equation. 7 + -7 + -5x = -13 + -7 Combine like terms: 7 + -7 = 0 0 + -5x = -13 + -7 -5x = -13 + -7 Combine like terms: -13 + -7 = -20 -5x = -20 Divide each side by '-5'. x = 4 Simplifying x = 4
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