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Simplifying -10x + 13 = -5x + 8 Reorder the terms: 13 + -10x = -5x + 8 Reorder the terms: 13 + -10x = 8 + -5x Solving 13 + -10x = 8 + -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. 13 + -10x + 5x = 8 + -5x + 5x Combine like terms: -10x + 5x = -5x 13 + -5x = 8 + -5x + 5x Combine like terms: -5x + 5x = 0 13 + -5x = 8 + 0 13 + -5x = 8 Add '-13' to each side of the equation. 13 + -13 + -5x = 8 + -13 Combine like terms: 13 + -13 = 0 0 + -5x = 8 + -13 -5x = 8 + -13 Combine like terms: 8 + -13 = -5 -5x = -5 Divide each side by '-5'. x = 1 Simplifying x = 1
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