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Simplifying 42 = 3x + 4(x + 7) Reorder the terms: 42 = 3x + 4(7 + x) 42 = 3x + (7 * 4 + x * 4) 42 = 3x + (28 + 4x) Reorder the terms: 42 = 28 + 3x + 4x Combine like terms: 3x + 4x = 7x 42 = 28 + 7x Solving 42 = 28 + 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. 42 + -7x = 28 + 7x + -7x Combine like terms: 7x + -7x = 0 42 + -7x = 28 + 0 42 + -7x = 28 Add '-42' to each side of the equation. 42 + -42 + -7x = 28 + -42 Combine like terms: 42 + -42 = 0 0 + -7x = 28 + -42 -7x = 28 + -42 Combine like terms: 28 + -42 = -14 -7x = -14 Divide each side by '-7'. x = 2 Simplifying x = 2
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