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Simplifying 10(2x + 5) + -13x = 3x + 26 Reorder the terms: 10(5 + 2x) + -13x = 3x + 26 (5 * 10 + 2x * 10) + -13x = 3x + 26 (50 + 20x) + -13x = 3x + 26 Combine like terms: 20x + -13x = 7x 50 + 7x = 3x + 26 Reorder the terms: 50 + 7x = 26 + 3x Solving 50 + 7x = 26 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 50 + 7x + -3x = 26 + 3x + -3x Combine like terms: 7x + -3x = 4x 50 + 4x = 26 + 3x + -3x Combine like terms: 3x + -3x = 0 50 + 4x = 26 + 0 50 + 4x = 26 Add '-50' to each side of the equation. 50 + -50 + 4x = 26 + -50 Combine like terms: 50 + -50 = 0 0 + 4x = 26 + -50 4x = 26 + -50 Combine like terms: 26 + -50 = -24 4x = -24 Divide each side by '4'. x = -6 Simplifying x = -6
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