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Simplifying 11(x + -3) + -4 = 9x + 1 Reorder the terms: 11(-3 + x) + -4 = 9x + 1 (-3 * 11 + x * 11) + -4 = 9x + 1 (-33 + 11x) + -4 = 9x + 1 Reorder the terms: -33 + -4 + 11x = 9x + 1 Combine like terms: -33 + -4 = -37 -37 + 11x = 9x + 1 Reorder the terms: -37 + 11x = 1 + 9x Solving -37 + 11x = 1 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -37 + 11x + -9x = 1 + 9x + -9x Combine like terms: 11x + -9x = 2x -37 + 2x = 1 + 9x + -9x Combine like terms: 9x + -9x = 0 -37 + 2x = 1 + 0 -37 + 2x = 1 Add '37' to each side of the equation. -37 + 37 + 2x = 1 + 37 Combine like terms: -37 + 37 = 0 0 + 2x = 1 + 37 2x = 1 + 37 Combine like terms: 1 + 37 = 38 2x = 38 Divide each side by '2'. x = 19 Simplifying x = 19
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