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Simplifying 4(x + 7) = -4 + 8x Reorder the terms: 4(7 + x) = -4 + 8x (7 * 4 + x * 4) = -4 + 8x (28 + 4x) = -4 + 8x Solving 28 + 4x = -4 + 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 + 4x + -8x = -4 + 8x + -8x Combine like terms: 4x + -8x = -4x 28 + -4x = -4 + 8x + -8x Combine like terms: 8x + -8x = 0 28 + -4x = -4 + 0 28 + -4x = -4 Add '-28' to each side of the equation. 28 + -28 + -4x = -4 + -28 Combine like terms: 28 + -28 = 0 0 + -4x = -4 + -28 -4x = -4 + -28 Combine like terms: -4 + -28 = -32 -4x = -32 Divide each side by '-4'. x = 8 Simplifying x = 8
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