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Simplifying 7(2x + -1) + 5(-6x + -3) = 0 Reorder the terms: 7(-1 + 2x) + 5(-6x + -3) = 0 (-1 * 7 + 2x * 7) + 5(-6x + -3) = 0 (-7 + 14x) + 5(-6x + -3) = 0 Reorder the terms: -7 + 14x + 5(-3 + -6x) = 0 -7 + 14x + (-3 * 5 + -6x * 5) = 0 -7 + 14x + (-15 + -30x) = 0 Reorder the terms: -7 + -15 + 14x + -30x = 0 Combine like terms: -7 + -15 = -22 -22 + 14x + -30x = 0 Combine like terms: 14x + -30x = -16x -22 + -16x = 0 Solving -22 + -16x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + -16x = 0 + 22 Combine like terms: -22 + 22 = 0 0 + -16x = 0 + 22 -16x = 0 + 22 Combine like terms: 0 + 22 = 22 -16x = 22 Divide each side by '-16'. x = -1.375 Simplifying x = -1.375
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