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Simplifying 4(5x + 2) + -18(x + 3) = -28 Reorder the terms: 4(2 + 5x) + -18(x + 3) = -28 (2 * 4 + 5x * 4) + -18(x + 3) = -28 (8 + 20x) + -18(x + 3) = -28 Reorder the terms: 8 + 20x + -18(3 + x) = -28 8 + 20x + (3 * -18 + x * -18) = -28 8 + 20x + (-54 + -18x) = -28 Reorder the terms: 8 + -54 + 20x + -18x = -28 Combine like terms: 8 + -54 = -46 -46 + 20x + -18x = -28 Combine like terms: 20x + -18x = 2x -46 + 2x = -28 Solving -46 + 2x = -28 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '46' to each side of the equation. -46 + 46 + 2x = -28 + 46 Combine like terms: -46 + 46 = 0 0 + 2x = -28 + 46 2x = -28 + 46 Combine like terms: -28 + 46 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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