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Simplifying 10(4x + -2) = -6(6x + -8) Reorder the terms: 10(-2 + 4x) = -6(6x + -8) (-2 * 10 + 4x * 10) = -6(6x + -8) (-20 + 40x) = -6(6x + -8) Reorder the terms: -20 + 40x = -6(-8 + 6x) -20 + 40x = (-8 * -6 + 6x * -6) -20 + 40x = (48 + -36x) Solving -20 + 40x = 48 + -36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36x' to each side of the equation. -20 + 40x + 36x = 48 + -36x + 36x Combine like terms: 40x + 36x = 76x -20 + 76x = 48 + -36x + 36x Combine like terms: -36x + 36x = 0 -20 + 76x = 48 + 0 -20 + 76x = 48 Add '20' to each side of the equation. -20 + 20 + 76x = 48 + 20 Combine like terms: -20 + 20 = 0 0 + 76x = 48 + 20 76x = 48 + 20 Combine like terms: 48 + 20 = 68 76x = 68 Divide each side by '76'. x = 0.8947368421 Simplifying x = 0.8947368421
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