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Simplifying 7(x + -3) = 2(3x + 4) + -11 Reorder the terms: 7(-3 + x) = 2(3x + 4) + -11 (-3 * 7 + x * 7) = 2(3x + 4) + -11 (-21 + 7x) = 2(3x + 4) + -11 Reorder the terms: -21 + 7x = 2(4 + 3x) + -11 -21 + 7x = (4 * 2 + 3x * 2) + -11 -21 + 7x = (8 + 6x) + -11 Reorder the terms: -21 + 7x = 8 + -11 + 6x Combine like terms: 8 + -11 = -3 -21 + 7x = -3 + 6x Solving -21 + 7x = -3 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -21 + 7x + -6x = -3 + 6x + -6x Combine like terms: 7x + -6x = 1x -21 + 1x = -3 + 6x + -6x Combine like terms: 6x + -6x = 0 -21 + 1x = -3 + 0 -21 + 1x = -3 Add '21' to each side of the equation. -21 + 21 + 1x = -3 + 21 Combine like terms: -21 + 21 = 0 0 + 1x = -3 + 21 1x = -3 + 21 Combine like terms: -3 + 21 = 18 1x = 18 Divide each side by '1'. x = 18 Simplifying x = 18
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