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Simplifying 2(9 + -1x) + 1 = 4x + -1(2x + -11) (9 * 2 + -1x * 2) + 1 = 4x + -1(2x + -11) (18 + -2x) + 1 = 4x + -1(2x + -11) Reorder the terms: 18 + 1 + -2x = 4x + -1(2x + -11) Combine like terms: 18 + 1 = 19 19 + -2x = 4x + -1(2x + -11) Reorder the terms: 19 + -2x = 4x + -1(-11 + 2x) 19 + -2x = 4x + (-11 * -1 + 2x * -1) 19 + -2x = 4x + (11 + -2x) Reorder the terms: 19 + -2x = 11 + 4x + -2x Combine like terms: 4x + -2x = 2x 19 + -2x = 11 + 2x Solving 19 + -2x = 11 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 19 + -2x + -2x = 11 + 2x + -2x Combine like terms: -2x + -2x = -4x 19 + -4x = 11 + 2x + -2x Combine like terms: 2x + -2x = 0 19 + -4x = 11 + 0 19 + -4x = 11 Add '-19' to each side of the equation. 19 + -19 + -4x = 11 + -19 Combine like terms: 19 + -19 = 0 0 + -4x = 11 + -19 -4x = 11 + -19 Combine like terms: 11 + -19 = -8 -4x = -8 Divide each side by '-4'. x = 2 Simplifying x = 2
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