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Simplifying 11(x + -4) + 6 + -2x = 5x + -7(2x + 1) Reorder the terms: 11(-4 + x) + 6 + -2x = 5x + -7(2x + 1) (-4 * 11 + x * 11) + 6 + -2x = 5x + -7(2x + 1) (-44 + 11x) + 6 + -2x = 5x + -7(2x + 1) Reorder the terms: -44 + 6 + 11x + -2x = 5x + -7(2x + 1) Combine like terms: -44 + 6 = -38 -38 + 11x + -2x = 5x + -7(2x + 1) Combine like terms: 11x + -2x = 9x -38 + 9x = 5x + -7(2x + 1) Reorder the terms: -38 + 9x = 5x + -7(1 + 2x) -38 + 9x = 5x + (1 * -7 + 2x * -7) -38 + 9x = 5x + (-7 + -14x) Reorder the terms: -38 + 9x = -7 + 5x + -14x Combine like terms: 5x + -14x = -9x -38 + 9x = -7 + -9x Solving -38 + 9x = -7 + -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. -38 + 9x + 9x = -7 + -9x + 9x Combine like terms: 9x + 9x = 18x -38 + 18x = -7 + -9x + 9x Combine like terms: -9x + 9x = 0 -38 + 18x = -7 + 0 -38 + 18x = -7 Add '38' to each side of the equation. -38 + 38 + 18x = -7 + 38 Combine like terms: -38 + 38 = 0 0 + 18x = -7 + 38 18x = -7 + 38 Combine like terms: -7 + 38 = 31 18x = 31 Divide each side by '18'. x = 1.722222222 Simplifying x = 1.722222222
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