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Simplifying 7x + 42 = 4(x + 9) Reorder the terms: 42 + 7x = 4(x + 9) Reorder the terms: 42 + 7x = 4(9 + x) 42 + 7x = (9 * 4 + x * 4) 42 + 7x = (36 + 4x) Solving 42 + 7x = 36 + 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 + 7x + -4x = 36 + 4x + -4x Combine like terms: 7x + -4x = 3x 42 + 3x = 36 + 4x + -4x Combine like terms: 4x + -4x = 0 42 + 3x = 36 + 0 42 + 3x = 36 Add '-42' to each side of the equation. 42 + -42 + 3x = 36 + -42 Combine like terms: 42 + -42 = 0 0 + 3x = 36 + -42 3x = 36 + -42 Combine like terms: 36 + -42 = -6 3x = -6 Divide each side by '3'. x = -2 Simplifying x = -2
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