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Simplifying 42 = 4(x + 6) Reorder the terms: 42 = 4(6 + x) 42 = (6 * 4 + x * 4) 42 = (24 + 4x) Solving 42 = 24 + 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. 42 + -4x = 24 + 4x + -4x Combine like terms: 4x + -4x = 0 42 + -4x = 24 + 0 42 + -4x = 24 Add '-42' to each side of the equation. 42 + -42 + -4x = 24 + -42 Combine like terms: 42 + -42 = 0 0 + -4x = 24 + -42 -4x = 24 + -42 Combine like terms: 24 + -42 = -18 -4x = -18 Divide each side by '-4'. x = 4.5 Simplifying x = 4.5
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