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Simplifying 3 + 5(-6x + -7) = -1(6x + 7) + -1 Reorder the terms: 3 + 5(-7 + -6x) = -1(6x + 7) + -1 3 + (-7 * 5 + -6x * 5) = -1(6x + 7) + -1 3 + (-35 + -30x) = -1(6x + 7) + -1 Combine like terms: 3 + -35 = -32 -32 + -30x = -1(6x + 7) + -1 Reorder the terms: -32 + -30x = -1(7 + 6x) + -1 -32 + -30x = (7 * -1 + 6x * -1) + -1 -32 + -30x = (-7 + -6x) + -1 Reorder the terms: -32 + -30x = -7 + -1 + -6x Combine like terms: -7 + -1 = -8 -32 + -30x = -8 + -6x Solving -32 + -30x = -8 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -32 + -30x + 6x = -8 + -6x + 6x Combine like terms: -30x + 6x = -24x -32 + -24x = -8 + -6x + 6x Combine like terms: -6x + 6x = 0 -32 + -24x = -8 + 0 -32 + -24x = -8 Add '32' to each side of the equation. -32 + 32 + -24x = -8 + 32 Combine like terms: -32 + 32 = 0 0 + -24x = -8 + 32 -24x = -8 + 32 Combine like terms: -8 + 32 = 24 -24x = 24 Divide each side by '-24'. x = -1 Simplifying x = -1
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