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Simplifying 3(x + -7) + -7x = -7(x + -7) + 20 Reorder the terms: 3(-7 + x) + -7x = -7(x + -7) + 20 (-7 * 3 + x * 3) + -7x = -7(x + -7) + 20 (-21 + 3x) + -7x = -7(x + -7) + 20 Combine like terms: 3x + -7x = -4x -21 + -4x = -7(x + -7) + 20 Reorder the terms: -21 + -4x = -7(-7 + x) + 20 -21 + -4x = (-7 * -7 + x * -7) + 20 -21 + -4x = (49 + -7x) + 20 Reorder the terms: -21 + -4x = 49 + 20 + -7x Combine like terms: 49 + 20 = 69 -21 + -4x = 69 + -7x Solving -21 + -4x = 69 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -21 + -4x + 7x = 69 + -7x + 7x Combine like terms: -4x + 7x = 3x -21 + 3x = 69 + -7x + 7x Combine like terms: -7x + 7x = 0 -21 + 3x = 69 + 0 -21 + 3x = 69 Add '21' to each side of the equation. -21 + 21 + 3x = 69 + 21 Combine like terms: -21 + 21 = 0 0 + 3x = 69 + 21 3x = 69 + 21 Combine like terms: 69 + 21 = 90 3x = 90 Divide each side by '3'. x = 30 Simplifying x = 30
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