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Simplifying 10x + 5 = 13x + -10 Reorder the terms: 5 + 10x = 13x + -10 Reorder the terms: 5 + 10x = -10 + 13x Solving 5 + 10x = -10 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 5 + 10x + -13x = -10 + 13x + -13x Combine like terms: 10x + -13x = -3x 5 + -3x = -10 + 13x + -13x Combine like terms: 13x + -13x = 0 5 + -3x = -10 + 0 5 + -3x = -10 Add '-5' to each side of the equation. 5 + -5 + -3x = -10 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = -10 + -5 -3x = -10 + -5 Combine like terms: -10 + -5 = -15 -3x = -15 Divide each side by '-3'. x = 5 Simplifying x = 5
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