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Simplifying 7(3x + -4) = 18 + -2x Reorder the terms: 7(-4 + 3x) = 18 + -2x (-4 * 7 + 3x * 7) = 18 + -2x (-28 + 21x) = 18 + -2x Solving -28 + 21x = 18 + -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 + 21x + 2x = 18 + -2x + 2x Combine like terms: 21x + 2x = 23x -28 + 23x = 18 + -2x + 2x Combine like terms: -2x + 2x = 0 -28 + 23x = 18 + 0 -28 + 23x = 18 Add '28' to each side of the equation. -28 + 28 + 23x = 18 + 28 Combine like terms: -28 + 28 = 0 0 + 23x = 18 + 28 23x = 18 + 28 Combine like terms: 18 + 28 = 46 23x = 46 Divide each side by '23'. x = 2 Simplifying x = 2
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