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Simplifying 4(2x + 2) = 27 + 3(2x + -5) Reorder the terms: 4(2 + 2x) = 27 + 3(2x + -5) (2 * 4 + 2x * 4) = 27 + 3(2x + -5) (8 + 8x) = 27 + 3(2x + -5) Reorder the terms: 8 + 8x = 27 + 3(-5 + 2x) 8 + 8x = 27 + (-5 * 3 + 2x * 3) 8 + 8x = 27 + (-15 + 6x) Combine like terms: 27 + -15 = 12 8 + 8x = 12 + 6x Solving 8 + 8x = 12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 8 + 8x + -6x = 12 + 6x + -6x Combine like terms: 8x + -6x = 2x 8 + 2x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 8 + 2x = 12 + 0 8 + 2x = 12 Add '-8' to each side of the equation. 8 + -8 + 2x = 12 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = 12 + -8 2x = 12 + -8 Combine like terms: 12 + -8 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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