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Simplifying 2(2x + 2) = 7(x + 5) Reorder the terms: 2(2 + 2x) = 7(x + 5) (2 * 2 + 2x * 2) = 7(x + 5) (4 + 4x) = 7(x + 5) Reorder the terms: 4 + 4x = 7(5 + x) 4 + 4x = (5 * 7 + x * 7) 4 + 4x = (35 + 7x) Solving 4 + 4x = 35 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 4 + 4x + -7x = 35 + 7x + -7x Combine like terms: 4x + -7x = -3x 4 + -3x = 35 + 7x + -7x Combine like terms: 7x + -7x = 0 4 + -3x = 35 + 0 4 + -3x = 35 Add '-4' to each side of the equation. 4 + -4 + -3x = 35 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = 35 + -4 -3x = 35 + -4 Combine like terms: 35 + -4 = 31 -3x = 31 Divide each side by '-3'. x = -10.33333333 Simplifying x = -10.33333333
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