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Simplifying 1 = 4(x + -8) + 7x Reorder the terms: 1 = 4(-8 + x) + 7x 1 = (-8 * 4 + x * 4) + 7x 1 = (-32 + 4x) + 7x Combine like terms: 4x + 7x = 11x 1 = -32 + 11x Solving 1 = -32 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 1 + -11x = -32 + 11x + -11x Combine like terms: 11x + -11x = 0 1 + -11x = -32 + 0 1 + -11x = -32 Add '-1' to each side of the equation. 1 + -1 + -11x = -32 + -1 Combine like terms: 1 + -1 = 0 0 + -11x = -32 + -1 -11x = -32 + -1 Combine like terms: -32 + -1 = -33 -11x = -33 Divide each side by '-11'. x = 3 Simplifying x = 3
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