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Simplifying 8 = 4(x + 7) + -8x Reorder the terms: 8 = 4(7 + x) + -8x 8 = (7 * 4 + x * 4) + -8x 8 = (28 + 4x) + -8x Combine like terms: 4x + -8x = -4x 8 = 28 + -4x Solving 8 = 28 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 8 + 4x = 28 + -4x + 4x Combine like terms: -4x + 4x = 0 8 + 4x = 28 + 0 8 + 4x = 28 Add '-8' to each side of the equation. 8 + -8 + 4x = 28 + -8 Combine like terms: 8 + -8 = 0 0 + 4x = 28 + -8 4x = 28 + -8 Combine like terms: 28 + -8 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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