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Simplifying 7(x + -3) = 2(2x + 6) Reorder the terms: 7(-3 + x) = 2(2x + 6) (-3 * 7 + x * 7) = 2(2x + 6) (-21 + 7x) = 2(2x + 6) Reorder the terms: -21 + 7x = 2(6 + 2x) -21 + 7x = (6 * 2 + 2x * 2) -21 + 7x = (12 + 4x) Solving -21 + 7x = 12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -21 + 7x + -4x = 12 + 4x + -4x Combine like terms: 7x + -4x = 3x -21 + 3x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 -21 + 3x = 12 + 0 -21 + 3x = 12 Add '21' to each side of the equation. -21 + 21 + 3x = 12 + 21 Combine like terms: -21 + 21 = 0 0 + 3x = 12 + 21 3x = 12 + 21 Combine like terms: 12 + 21 = 33 3x = 33 Divide each side by '3'. x = 11 Simplifying x = 11
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