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Simplifying 3x + 7(x + -6) = 3(x + -7) Reorder the terms: 3x + 7(-6 + x) = 3(x + -7) 3x + (-6 * 7 + x * 7) = 3(x + -7) 3x + (-42 + 7x) = 3(x + -7) Reorder the terms: -42 + 3x + 7x = 3(x + -7) Combine like terms: 3x + 7x = 10x -42 + 10x = 3(x + -7) Reorder the terms: -42 + 10x = 3(-7 + x) -42 + 10x = (-7 * 3 + x * 3) -42 + 10x = (-21 + 3x) Solving -42 + 10x = -21 + 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. -42 + 10x + -3x = -21 + 3x + -3x Combine like terms: 10x + -3x = 7x -42 + 7x = -21 + 3x + -3x Combine like terms: 3x + -3x = 0 -42 + 7x = -21 + 0 -42 + 7x = -21 Add '42' to each side of the equation. -42 + 42 + 7x = -21 + 42 Combine like terms: -42 + 42 = 0 0 + 7x = -21 + 42 7x = -21 + 42 Combine like terms: -21 + 42 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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