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Simplifying 164 = 2(x + 42) + 2x Reorder the terms: 164 = 2(42 + x) + 2x 164 = (42 * 2 + x * 2) + 2x 164 = (84 + 2x) + 2x Combine like terms: 2x + 2x = 4x 164 = 84 + 4x Solving 164 = 84 + 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. 164 + -4x = 84 + 4x + -4x Combine like terms: 4x + -4x = 0 164 + -4x = 84 + 0 164 + -4x = 84 Add '-164' to each side of the equation. 164 + -164 + -4x = 84 + -164 Combine like terms: 164 + -164 = 0 0 + -4x = 84 + -164 -4x = 84 + -164 Combine like terms: 84 + -164 = -80 -4x = -80 Divide each side by '-4'. x = 20 Simplifying x = 20
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