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Simplifying 8(x + -7) = 4(x + 7) Reorder the terms: 8(-7 + x) = 4(x + 7) (-7 * 8 + x * 8) = 4(x + 7) (-56 + 8x) = 4(x + 7) Reorder the terms: -56 + 8x = 4(7 + x) -56 + 8x = (7 * 4 + x * 4) -56 + 8x = (28 + 4x) Solving -56 + 8x = 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. -56 + 8x + -4x = 28 + 4x + -4x Combine like terms: 8x + -4x = 4x -56 + 4x = 28 + 4x + -4x Combine like terms: 4x + -4x = 0 -56 + 4x = 28 + 0 -56 + 4x = 28 Add '56' to each side of the equation. -56 + 56 + 4x = 28 + 56 Combine like terms: -56 + 56 = 0 0 + 4x = 28 + 56 4x = 28 + 56 Combine like terms: 28 + 56 = 84 4x = 84 Divide each side by '4'. x = 21 Simplifying x = 21
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