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Simplifying -9(x + 4) + 4(7x + -9) = 18(x + -6) + 10 Reorder the terms: -9(4 + x) + 4(7x + -9) = 18(x + -6) + 10 (4 * -9 + x * -9) + 4(7x + -9) = 18(x + -6) + 10 (-36 + -9x) + 4(7x + -9) = 18(x + -6) + 10 Reorder the terms: -36 + -9x + 4(-9 + 7x) = 18(x + -6) + 10 -36 + -9x + (-9 * 4 + 7x * 4) = 18(x + -6) + 10 -36 + -9x + (-36 + 28x) = 18(x + -6) + 10 Reorder the terms: -36 + -36 + -9x + 28x = 18(x + -6) + 10 Combine like terms: -36 + -36 = -72 -72 + -9x + 28x = 18(x + -6) + 10 Combine like terms: -9x + 28x = 19x -72 + 19x = 18(x + -6) + 10 Reorder the terms: -72 + 19x = 18(-6 + x) + 10 -72 + 19x = (-6 * 18 + x * 18) + 10 -72 + 19x = (-108 + 18x) + 10 Reorder the terms: -72 + 19x = -108 + 10 + 18x Combine like terms: -108 + 10 = -98 -72 + 19x = -98 + 18x Solving -72 + 19x = -98 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -72 + 19x + -18x = -98 + 18x + -18x Combine like terms: 19x + -18x = 1x -72 + 1x = -98 + 18x + -18x Combine like terms: 18x + -18x = 0 -72 + 1x = -98 + 0 -72 + 1x = -98 Add '72' to each side of the equation. -72 + 72 + 1x = -98 + 72 Combine like terms: -72 + 72 = 0 0 + 1x = -98 + 72 1x = -98 + 72 Combine like terms: -98 + 72 = -26 1x = -26 Divide each side by '1'. x = -26 Simplifying x = -26
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