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Simplifying 1 + (-1x + 5) + -4 = 4x + -1(11 + -6x) Reorder the terms: 1 + (5 + -1x) + -4 = 4x + -1(11 + -6x) Remove parenthesis around (5 + -1x) 1 + 5 + -1x + -4 = 4x + -1(11 + -6x) Reorder the terms: 1 + 5 + -4 + -1x = 4x + -1(11 + -6x) Combine like terms: 1 + 5 = 6 6 + -4 + -1x = 4x + -1(11 + -6x) Combine like terms: 6 + -4 = 2 2 + -1x = 4x + -1(11 + -6x) 2 + -1x = 4x + (11 * -1 + -6x * -1) 2 + -1x = 4x + (-11 + 6x) Reorder the terms: 2 + -1x = -11 + 4x + 6x Combine like terms: 4x + 6x = 10x 2 + -1x = -11 + 10x Solving 2 + -1x = -11 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 2 + -1x + -10x = -11 + 10x + -10x Combine like terms: -1x + -10x = -11x 2 + -11x = -11 + 10x + -10x Combine like terms: 10x + -10x = 0 2 + -11x = -11 + 0 2 + -11x = -11 Add '-2' to each side of the equation. 2 + -2 + -11x = -11 + -2 Combine like terms: 2 + -2 = 0 0 + -11x = -11 + -2 -11x = -11 + -2 Combine like terms: -11 + -2 = -13 -11x = -13 Divide each side by '-11'. x = 1.181818182 Simplifying x = 1.181818182
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