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Simplifying -7(x + 4) = -43 + 8x Reorder the terms: -7(4 + x) = -43 + 8x (4 * -7 + x * -7) = -43 + 8x (-28 + -7x) = -43 + 8x Solving -28 + -7x = -43 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -28 + -7x + -8x = -43 + 8x + -8x Combine like terms: -7x + -8x = -15x -28 + -15x = -43 + 8x + -8x Combine like terms: 8x + -8x = 0 -28 + -15x = -43 + 0 -28 + -15x = -43 Add '28' to each side of the equation. -28 + 28 + -15x = -43 + 28 Combine like terms: -28 + 28 = 0 0 + -15x = -43 + 28 -15x = -43 + 28 Combine like terms: -43 + 28 = -15 -15x = -15 Divide each side by '-15'. x = 1 Simplifying x = 1
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