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Simplifying 3x + -2(2x + -5) + -2(x + 2) = -21 Reorder the terms: 3x + -2(-5 + 2x) + -2(x + 2) = -21 3x + (-5 * -2 + 2x * -2) + -2(x + 2) = -21 3x + (10 + -4x) + -2(x + 2) = -21 Reorder the terms: 3x + 10 + -4x + -2(2 + x) = -21 3x + 10 + -4x + (2 * -2 + x * -2) = -21 3x + 10 + -4x + (-4 + -2x) = -21 Reorder the terms: 10 + -4 + 3x + -4x + -2x = -21 Combine like terms: 10 + -4 = 6 6 + 3x + -4x + -2x = -21 Combine like terms: 3x + -4x = -1x 6 + -1x + -2x = -21 Combine like terms: -1x + -2x = -3x 6 + -3x = -21 Solving 6 + -3x = -21 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -3x = -21 + -6 Combine like terms: 6 + -6 = 0 0 + -3x = -21 + -6 -3x = -21 + -6 Combine like terms: -21 + -6 = -27 -3x = -27 Divide each side by '-3'. x = 9 Simplifying x = 9
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