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Simplifying -177 = 6x + -7(-6x + -9) Reorder the terms: -177 = 6x + -7(-9 + -6x) -177 = 6x + (-9 * -7 + -6x * -7) -177 = 6x + (63 + 42x) Reorder the terms: -177 = 63 + 6x + 42x Combine like terms: 6x + 42x = 48x -177 = 63 + 48x Solving -177 = 63 + 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. -177 + -48x = 63 + 48x + -48x Combine like terms: 48x + -48x = 0 -177 + -48x = 63 + 0 -177 + -48x = 63 Add '177' to each side of the equation. -177 + 177 + -48x = 63 + 177 Combine like terms: -177 + 177 = 0 0 + -48x = 63 + 177 -48x = 63 + 177 Combine like terms: 63 + 177 = 240 -48x = 240 Divide each side by '-48'. x = -5 Simplifying x = -5
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