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Simplifying -4x + -9(10 + -1) = 2(-6x + 40) Combine like terms: 10 + -1 = 9 -4x + -9(9) = 2(-6x + 40) Multiply -9 * 9 -4x + -81 = 2(-6x + 40) Reorder the terms: -81 + -4x = 2(-6x + 40) Reorder the terms: -81 + -4x = 2(40 + -6x) -81 + -4x = (40 * 2 + -6x * 2) -81 + -4x = (80 + -12x) Solving -81 + -4x = 80 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -81 + -4x + 12x = 80 + -12x + 12x Combine like terms: -4x + 12x = 8x -81 + 8x = 80 + -12x + 12x Combine like terms: -12x + 12x = 0 -81 + 8x = 80 + 0 -81 + 8x = 80 Add '81' to each side of the equation. -81 + 81 + 8x = 80 + 81 Combine like terms: -81 + 81 = 0 0 + 8x = 80 + 81 8x = 80 + 81 Combine like terms: 80 + 81 = 161 8x = 161 Divide each side by '8'. x = 20.125 Simplifying x = 20.125
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