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Simplifying -7(2x + 7) + 4(5x + -2) = -21 Reorder the terms: -7(7 + 2x) + 4(5x + -2) = -21 (7 * -7 + 2x * -7) + 4(5x + -2) = -21 (-49 + -14x) + 4(5x + -2) = -21 Reorder the terms: -49 + -14x + 4(-2 + 5x) = -21 -49 + -14x + (-2 * 4 + 5x * 4) = -21 -49 + -14x + (-8 + 20x) = -21 Reorder the terms: -49 + -8 + -14x + 20x = -21 Combine like terms: -49 + -8 = -57 -57 + -14x + 20x = -21 Combine like terms: -14x + 20x = 6x -57 + 6x = -21 Solving -57 + 6x = -21 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '57' to each side of the equation. -57 + 57 + 6x = -21 + 57 Combine like terms: -57 + 57 = 0 0 + 6x = -21 + 57 6x = -21 + 57 Combine like terms: -21 + 57 = 36 6x = 36 Divide each side by '6'. x = 6 Simplifying x = 6
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