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Simplifying 6(x + 7) = 4x + 18 Reorder the terms: 6(7 + x) = 4x + 18 (7 * 6 + x * 6) = 4x + 18 (42 + 6x) = 4x + 18 Reorder the terms: 42 + 6x = 18 + 4x Solving 42 + 6x = 18 + 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 + 6x + -4x = 18 + 4x + -4x Combine like terms: 6x + -4x = 2x 42 + 2x = 18 + 4x + -4x Combine like terms: 4x + -4x = 0 42 + 2x = 18 + 0 42 + 2x = 18 Add '-42' to each side of the equation. 42 + -42 + 2x = 18 + -42 Combine like terms: 42 + -42 = 0 0 + 2x = 18 + -42 2x = 18 + -42 Combine like terms: 18 + -42 = -24 2x = -24 Divide each side by '2'. x = -12 Simplifying x = -12
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