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Simplifying -7(x + -4) = -2x + 43 Reorder the terms: -7(-4 + x) = -2x + 43 (-4 * -7 + x * -7) = -2x + 43 (28 + -7x) = -2x + 43 Reorder the terms: 28 + -7x = 43 + -2x Solving 28 + -7x = 43 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 28 + -7x + 2x = 43 + -2x + 2x Combine like terms: -7x + 2x = -5x 28 + -5x = 43 + -2x + 2x Combine like terms: -2x + 2x = 0 28 + -5x = 43 + 0 28 + -5x = 43 Add '-28' to each side of the equation. 28 + -28 + -5x = 43 + -28 Combine like terms: 28 + -28 = 0 0 + -5x = 43 + -28 -5x = 43 + -28 Combine like terms: 43 + -28 = 15 -5x = 15 Divide each side by '-5'. x = -3 Simplifying x = -3
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