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Simplifying 9(2x + -10) = 38(x + 2) Reorder the terms: 9(-10 + 2x) = 38(x + 2) (-10 * 9 + 2x * 9) = 38(x + 2) (-90 + 18x) = 38(x + 2) Reorder the terms: -90 + 18x = 38(2 + x) -90 + 18x = (2 * 38 + x * 38) -90 + 18x = (76 + 38x) Solving -90 + 18x = 76 + 38x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-38x' to each side of the equation. -90 + 18x + -38x = 76 + 38x + -38x Combine like terms: 18x + -38x = -20x -90 + -20x = 76 + 38x + -38x Combine like terms: 38x + -38x = 0 -90 + -20x = 76 + 0 -90 + -20x = 76 Add '90' to each side of the equation. -90 + 90 + -20x = 76 + 90 Combine like terms: -90 + 90 = 0 0 + -20x = 76 + 90 -20x = 76 + 90 Combine like terms: 76 + 90 = 166 -20x = 166 Divide each side by '-20'. x = -8.3 Simplifying x = -8.3
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