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Simplifying 8(4 + 9x) = 7(-2 + 11x) + -1(x + 4) (4 * 8 + 9x * 8) = 7(-2 + 11x) + -1(x + 4) (32 + 72x) = 7(-2 + 11x) + -1(x + 4) 32 + 72x = (-2 * 7 + 11x * 7) + -1(x + 4) 32 + 72x = (-14 + 77x) + -1(x + 4) Reorder the terms: 32 + 72x = -14 + 77x + -1(4 + x) 32 + 72x = -14 + 77x + (4 * -1 + x * -1) 32 + 72x = -14 + 77x + (-4 + -1x) Reorder the terms: 32 + 72x = -14 + -4 + 77x + -1x Combine like terms: -14 + -4 = -18 32 + 72x = -18 + 77x + -1x Combine like terms: 77x + -1x = 76x 32 + 72x = -18 + 76x Solving 32 + 72x = -18 + 76x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-76x' to each side of the equation. 32 + 72x + -76x = -18 + 76x + -76x Combine like terms: 72x + -76x = -4x 32 + -4x = -18 + 76x + -76x Combine like terms: 76x + -76x = 0 32 + -4x = -18 + 0 32 + -4x = -18 Add '-32' to each side of the equation. 32 + -32 + -4x = -18 + -32 Combine like terms: 32 + -32 = 0 0 + -4x = -18 + -32 -4x = -18 + -32 Combine like terms: -18 + -32 = -50 -4x = -50 Divide each side by '-4'. x = 12.5 Simplifying x = 12.5
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