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Simplifying 3x + 7(x + -7) = 3(x + -14) Reorder the terms: 3x + 7(-7 + x) = 3(x + -14) 3x + (-7 * 7 + x * 7) = 3(x + -14) 3x + (-49 + 7x) = 3(x + -14) Reorder the terms: -49 + 3x + 7x = 3(x + -14) Combine like terms: 3x + 7x = 10x -49 + 10x = 3(x + -14) Reorder the terms: -49 + 10x = 3(-14 + x) -49 + 10x = (-14 * 3 + x * 3) -49 + 10x = (-42 + 3x) Solving -49 + 10x = -42 + 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. -49 + 10x + -3x = -42 + 3x + -3x Combine like terms: 10x + -3x = 7x -49 + 7x = -42 + 3x + -3x Combine like terms: 3x + -3x = 0 -49 + 7x = -42 + 0 -49 + 7x = -42 Add '49' to each side of the equation. -49 + 49 + 7x = -42 + 49 Combine like terms: -49 + 49 = 0 0 + 7x = -42 + 49 7x = -42 + 49 Combine like terms: -42 + 49 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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