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Simplifying 7(x + -2) + -4(x + 1) = -21 Reorder the terms: 7(-2 + x) + -4(x + 1) = -21 (-2 * 7 + x * 7) + -4(x + 1) = -21 (-14 + 7x) + -4(x + 1) = -21 Reorder the terms: -14 + 7x + -4(1 + x) = -21 -14 + 7x + (1 * -4 + x * -4) = -21 -14 + 7x + (-4 + -4x) = -21 Reorder the terms: -14 + -4 + 7x + -4x = -21 Combine like terms: -14 + -4 = -18 -18 + 7x + -4x = -21 Combine like terms: 7x + -4x = 3x -18 + 3x = -21 Solving -18 + 3x = -21 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 3x = -21 + 18 Combine like terms: -18 + 18 = 0 0 + 3x = -21 + 18 3x = -21 + 18 Combine like terms: -21 + 18 = -3 3x = -3 Divide each side by '3'. x = -1 Simplifying x = -1
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