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Simplifying 10x + 5 + 40 = 13x + 15 Reorder the terms: 5 + 40 + 10x = 13x + 15 Combine like terms: 5 + 40 = 45 45 + 10x = 13x + 15 Reorder the terms: 45 + 10x = 15 + 13x Solving 45 + 10x = 15 + 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. 45 + 10x + -13x = 15 + 13x + -13x Combine like terms: 10x + -13x = -3x 45 + -3x = 15 + 13x + -13x Combine like terms: 13x + -13x = 0 45 + -3x = 15 + 0 45 + -3x = 15 Add '-45' to each side of the equation. 45 + -45 + -3x = 15 + -45 Combine like terms: 45 + -45 = 0 0 + -3x = 15 + -45 -3x = 15 + -45 Combine like terms: 15 + -45 = -30 -3x = -30 Divide each side by '-3'. x = 10 Simplifying x = 10
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