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Simplifying 3(5x + -1) + -4(4x + 2) = 0 Reorder the terms: 3(-1 + 5x) + -4(4x + 2) = 0 (-1 * 3 + 5x * 3) + -4(4x + 2) = 0 (-3 + 15x) + -4(4x + 2) = 0 Reorder the terms: -3 + 15x + -4(2 + 4x) = 0 -3 + 15x + (2 * -4 + 4x * -4) = 0 -3 + 15x + (-8 + -16x) = 0 Reorder the terms: -3 + -8 + 15x + -16x = 0 Combine like terms: -3 + -8 = -11 -11 + 15x + -16x = 0 Combine like terms: 15x + -16x = -1x -11 + -1x = 0 Solving -11 + -1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -1x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -1x = 0 + 11 -1x = 0 + 11 Combine like terms: 0 + 11 = 11 -1x = 11 Divide each side by '-1'. x = -11 Simplifying x = -11
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