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Simplifying 7(x + -4) = 30 + 5x + 12 Reorder the terms: 7(-4 + x) = 30 + 5x + 12 (-4 * 7 + x * 7) = 30 + 5x + 12 (-28 + 7x) = 30 + 5x + 12 Reorder the terms: -28 + 7x = 30 + 12 + 5x Combine like terms: 30 + 12 = 42 -28 + 7x = 42 + 5x Solving -28 + 7x = 42 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -28 + 7x + -5x = 42 + 5x + -5x Combine like terms: 7x + -5x = 2x -28 + 2x = 42 + 5x + -5x Combine like terms: 5x + -5x = 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 = 70 2x = 70 Divide each side by '2'. x = 35 Simplifying x = 35
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