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Simplifying 42 = 4(1 + 2x) 42 = (1 * 4 + 2x * 4) 42 = (4 + 8x) Solving 42 = 4 + 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. 42 + -8x = 4 + 8x + -8x Combine like terms: 8x + -8x = 0 42 + -8x = 4 + 0 42 + -8x = 4 Add '-42' to each side of the equation. 42 + -42 + -8x = 4 + -42 Combine like terms: 42 + -42 = 0 0 + -8x = 4 + -42 -8x = 4 + -42 Combine like terms: 4 + -42 = -38 -8x = -38 Divide each side by '-8'. x = 4.75 Simplifying x = 4.75
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