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Simplifying 4(2x + 1) + -7(x + 4) = 18 Reorder the terms: 4(1 + 2x) + -7(x + 4) = 18 (1 * 4 + 2x * 4) + -7(x + 4) = 18 (4 + 8x) + -7(x + 4) = 18 Reorder the terms: 4 + 8x + -7(4 + x) = 18 4 + 8x + (4 * -7 + x * -7) = 18 4 + 8x + (-28 + -7x) = 18 Reorder the terms: 4 + -28 + 8x + -7x = 18 Combine like terms: 4 + -28 = -24 -24 + 8x + -7x = 18 Combine like terms: 8x + -7x = 1x -24 + 1x = 18 Solving -24 + 1x = 18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 1x = 18 + 24 Combine like terms: -24 + 24 = 0 0 + 1x = 18 + 24 1x = 18 + 24 Combine like terms: 18 + 24 = 42 1x = 42 Divide each side by '1'. x = 42 Simplifying x = 42
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