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Simplifying 4(2x + -5) + -7 = 11x + 1 Reorder the terms: 4(-5 + 2x) + -7 = 11x + 1 (-5 * 4 + 2x * 4) + -7 = 11x + 1 (-20 + 8x) + -7 = 11x + 1 Reorder the terms: -20 + -7 + 8x = 11x + 1 Combine like terms: -20 + -7 = -27 -27 + 8x = 11x + 1 Reorder the terms: -27 + 8x = 1 + 11x Solving -27 + 8x = 1 + 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. -27 + 8x + -11x = 1 + 11x + -11x Combine like terms: 8x + -11x = -3x -27 + -3x = 1 + 11x + -11x Combine like terms: 11x + -11x = 0 -27 + -3x = 1 + 0 -27 + -3x = 1 Add '27' to each side of the equation. -27 + 27 + -3x = 1 + 27 Combine like terms: -27 + 27 = 0 0 + -3x = 1 + 27 -3x = 1 + 27 Combine like terms: 1 + 27 = 28 -3x = 28 Divide each side by '-3'. x = -9.333333333 Simplifying x = -9.333333333
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