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Simplifying 64x + -5 = -5 + 8(x + 28) Reorder the terms: -5 + 64x = -5 + 8(x + 28) Reorder the terms: -5 + 64x = -5 + 8(28 + x) -5 + 64x = -5 + (28 * 8 + x * 8) -5 + 64x = -5 + (224 + 8x) Combine like terms: -5 + 224 = 219 -5 + 64x = 219 + 8x Solving -5 + 64x = 219 + 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. -5 + 64x + -8x = 219 + 8x + -8x Combine like terms: 64x + -8x = 56x -5 + 56x = 219 + 8x + -8x Combine like terms: 8x + -8x = 0 -5 + 56x = 219 + 0 -5 + 56x = 219 Add '5' to each side of the equation. -5 + 5 + 56x = 219 + 5 Combine like terms: -5 + 5 = 0 0 + 56x = 219 + 5 56x = 219 + 5 Combine like terms: 219 + 5 = 224 56x = 224 Divide each side by '56'. x = 4 Simplifying x = 4
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