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Simplifying 2(3x + -4) + -4(5x + 1) = -8x + 7 Reorder the terms: 2(-4 + 3x) + -4(5x + 1) = -8x + 7 (-4 * 2 + 3x * 2) + -4(5x + 1) = -8x + 7 (-8 + 6x) + -4(5x + 1) = -8x + 7 Reorder the terms: -8 + 6x + -4(1 + 5x) = -8x + 7 -8 + 6x + (1 * -4 + 5x * -4) = -8x + 7 -8 + 6x + (-4 + -20x) = -8x + 7 Reorder the terms: -8 + -4 + 6x + -20x = -8x + 7 Combine like terms: -8 + -4 = -12 -12 + 6x + -20x = -8x + 7 Combine like terms: 6x + -20x = -14x -12 + -14x = -8x + 7 Reorder the terms: -12 + -14x = 7 + -8x Solving -12 + -14x = 7 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -12 + -14x + 8x = 7 + -8x + 8x Combine like terms: -14x + 8x = -6x -12 + -6x = 7 + -8x + 8x Combine like terms: -8x + 8x = 0 -12 + -6x = 7 + 0 -12 + -6x = 7 Add '12' to each side of the equation. -12 + 12 + -6x = 7 + 12 Combine like terms: -12 + 12 = 0 0 + -6x = 7 + 12 -6x = 7 + 12 Combine like terms: 7 + 12 = 19 -6x = 19 Divide each side by '-6'. x = -3.166666667 Simplifying x = -3.166666667
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