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Simplifying 10x + -7 = 2(13 + -5x) Reorder the terms: -7 + 10x = 2(13 + -5x) -7 + 10x = (13 * 2 + -5x * 2) -7 + 10x = (26 + -10x) Solving -7 + 10x = 26 + -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 + 10x + 10x = 26 + -10x + 10x Combine like terms: 10x + 10x = 20x -7 + 20x = 26 + -10x + 10x Combine like terms: -10x + 10x = 0 -7 + 20x = 26 + 0 -7 + 20x = 26 Add '7' to each side of the equation. -7 + 7 + 20x = 26 + 7 Combine like terms: -7 + 7 = 0 0 + 20x = 26 + 7 20x = 26 + 7 Combine like terms: 26 + 7 = 33 20x = 33 Divide each side by '20'. x = 1.65 Simplifying x = 1.65
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