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Simplifying -2x + 4 = -7(x + 3) Reorder the terms: 4 + -2x = -7(x + 3) Reorder the terms: 4 + -2x = -7(3 + x) 4 + -2x = (3 * -7 + x * -7) 4 + -2x = (-21 + -7x) Solving 4 + -2x = -21 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 4 + -2x + 7x = -21 + -7x + 7x Combine like terms: -2x + 7x = 5x 4 + 5x = -21 + -7x + 7x Combine like terms: -7x + 7x = 0 4 + 5x = -21 + 0 4 + 5x = -21 Add '-4' to each side of the equation. 4 + -4 + 5x = -21 + -4 Combine like terms: 4 + -4 = 0 0 + 5x = -21 + -4 5x = -21 + -4 Combine like terms: -21 + -4 = -25 5x = -25 Divide each side by '5'. x = -5 Simplifying x = -5
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