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Simplifying 4(2x + 2) = 4(x + 10) Reorder the terms: 4(2 + 2x) = 4(x + 10) (2 * 4 + 2x * 4) = 4(x + 10) (8 + 8x) = 4(x + 10) Reorder the terms: 8 + 8x = 4(10 + x) 8 + 8x = (10 * 4 + x * 4) 8 + 8x = (40 + 4x) Solving 8 + 8x = 40 + 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 + 8x + -4x = 40 + 4x + -4x Combine like terms: 8x + -4x = 4x 8 + 4x = 40 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + 4x = 40 + 0 8 + 4x = 40 Add '-8' to each side of the equation. 8 + -8 + 4x = 40 + -8 Combine like terms: 8 + -8 = 0 0 + 4x = 40 + -8 4x = 40 + -8 Combine like terms: 40 + -8 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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