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Simplifying -5x + 2x + 7 = 10x + -13 Reorder the terms: 7 + -5x + 2x = 10x + -13 Combine like terms: -5x + 2x = -3x 7 + -3x = 10x + -13 Reorder the terms: 7 + -3x = -13 + 10x Solving 7 + -3x = -13 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 7 + -3x + -10x = -13 + 10x + -10x Combine like terms: -3x + -10x = -13x 7 + -13x = -13 + 10x + -10x Combine like terms: 10x + -10x = 0 7 + -13x = -13 + 0 7 + -13x = -13 Add '-7' to each side of the equation. 7 + -7 + -13x = -13 + -7 Combine like terms: 7 + -7 = 0 0 + -13x = -13 + -7 -13x = -13 + -7 Combine like terms: -13 + -7 = -20 -13x = -20 Divide each side by '-13'. x = 1.538461538 Simplifying x = 1.538461538
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