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Simplifying -9 + 8x = -6(-4x + 7) + 1 Reorder the terms: -9 + 8x = -6(7 + -4x) + 1 -9 + 8x = (7 * -6 + -4x * -6) + 1 -9 + 8x = (-42 + 24x) + 1 Reorder the terms: -9 + 8x = -42 + 1 + 24x Combine like terms: -42 + 1 = -41 -9 + 8x = -41 + 24x Solving -9 + 8x = -41 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -9 + 8x + -24x = -41 + 24x + -24x Combine like terms: 8x + -24x = -16x -9 + -16x = -41 + 24x + -24x Combine like terms: 24x + -24x = 0 -9 + -16x = -41 + 0 -9 + -16x = -41 Add '9' to each side of the equation. -9 + 9 + -16x = -41 + 9 Combine like terms: -9 + 9 = 0 0 + -16x = -41 + 9 -16x = -41 + 9 Combine like terms: -41 + 9 = -32 -16x = -32 Divide each side by '-16'. x = 2 Simplifying x = 2
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