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Simplifying 11(7 + -1x) = 20(4x + 1) (7 * 11 + -1x * 11) = 20(4x + 1) (77 + -11x) = 20(4x + 1) Reorder the terms: 77 + -11x = 20(1 + 4x) 77 + -11x = (1 * 20 + 4x * 20) 77 + -11x = (20 + 80x) Solving 77 + -11x = 20 + 80x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-80x' to each side of the equation. 77 + -11x + -80x = 20 + 80x + -80x Combine like terms: -11x + -80x = -91x 77 + -91x = 20 + 80x + -80x Combine like terms: 80x + -80x = 0 77 + -91x = 20 + 0 77 + -91x = 20 Add '-77' to each side of the equation. 77 + -77 + -91x = 20 + -77 Combine like terms: 77 + -77 = 0 0 + -91x = 20 + -77 -91x = 20 + -77 Combine like terms: 20 + -77 = -57 -91x = -57 Divide each side by '-91'. x = 0.6263736264 Simplifying x = 0.6263736264
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