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Simplifying 10x + -6 = 3(5 + x) Reorder the terms: -6 + 10x = 3(5 + x) -6 + 10x = (5 * 3 + x * 3) -6 + 10x = (15 + 3x) Solving -6 + 10x = 15 + 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. -6 + 10x + -3x = 15 + 3x + -3x Combine like terms: 10x + -3x = 7x -6 + 7x = 15 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + 7x = 15 + 0 -6 + 7x = 15 Add '6' to each side of the equation. -6 + 6 + 7x = 15 + 6 Combine like terms: -6 + 6 = 0 0 + 7x = 15 + 6 7x = 15 + 6 Combine like terms: 15 + 6 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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