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Simplifying 30(9x + -18) = 30(3x + 21) Reorder the terms: 30(-18 + 9x) = 30(3x + 21) (-18 * 30 + 9x * 30) = 30(3x + 21) (-540 + 270x) = 30(3x + 21) Reorder the terms: -540 + 270x = 30(21 + 3x) -540 + 270x = (21 * 30 + 3x * 30) -540 + 270x = (630 + 90x) Solving -540 + 270x = 630 + 90x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-90x' to each side of the equation. -540 + 270x + -90x = 630 + 90x + -90x Combine like terms: 270x + -90x = 180x -540 + 180x = 630 + 90x + -90x Combine like terms: 90x + -90x = 0 -540 + 180x = 630 + 0 -540 + 180x = 630 Add '540' to each side of the equation. -540 + 540 + 180x = 630 + 540 Combine like terms: -540 + 540 = 0 0 + 180x = 630 + 540 180x = 630 + 540 Combine like terms: 630 + 540 = 1170 180x = 1170 Divide each side by '180'. x = 6.5 Simplifying x = 6.5
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