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Simplifying 4(19x + 18) = -2(20x + 19) Reorder the terms: 4(18 + 19x) = -2(20x + 19) (18 * 4 + 19x * 4) = -2(20x + 19) (72 + 76x) = -2(20x + 19) Reorder the terms: 72 + 76x = -2(19 + 20x) 72 + 76x = (19 * -2 + 20x * -2) 72 + 76x = (-38 + -40x) Solving 72 + 76x = -38 + -40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40x' to each side of the equation. 72 + 76x + 40x = -38 + -40x + 40x Combine like terms: 76x + 40x = 116x 72 + 116x = -38 + -40x + 40x Combine like terms: -40x + 40x = 0 72 + 116x = -38 + 0 72 + 116x = -38 Add '-72' to each side of the equation. 72 + -72 + 116x = -38 + -72 Combine like terms: 72 + -72 = 0 0 + 116x = -38 + -72 116x = -38 + -72 Combine like terms: -38 + -72 = -110 116x = -110 Divide each side by '116'. x = -0.9482758621 Simplifying x = -0.9482758621
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