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Simplifying 4(x + 7) = 2x + 42 Reorder the terms: 4(7 + x) = 2x + 42 (7 * 4 + x * 4) = 2x + 42 (28 + 4x) = 2x + 42 Reorder the terms: 28 + 4x = 42 + 2x Solving 28 + 4x = 42 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 28 + 4x + -2x = 42 + 2x + -2x Combine like terms: 4x + -2x = 2x 28 + 2x = 42 + 2x + -2x Combine like terms: 2x + -2x = 0 28 + 2x = 42 + 0 28 + 2x = 42 Add '-28' to each side of the equation. 28 + -28 + 2x = 42 + -28 Combine like terms: 28 + -28 = 0 0 + 2x = 42 + -28 2x = 42 + -28 Combine like terms: 42 + -28 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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