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Simplifying 5(x + 5) + 2 = -4(x + -11) + -6 Reorder the terms: 5(5 + x) + 2 = -4(x + -11) + -6 (5 * 5 + x * 5) + 2 = -4(x + -11) + -6 (25 + 5x) + 2 = -4(x + -11) + -6 Reorder the terms: 25 + 2 + 5x = -4(x + -11) + -6 Combine like terms: 25 + 2 = 27 27 + 5x = -4(x + -11) + -6 Reorder the terms: 27 + 5x = -4(-11 + x) + -6 27 + 5x = (-11 * -4 + x * -4) + -6 27 + 5x = (44 + -4x) + -6 Reorder the terms: 27 + 5x = 44 + -6 + -4x Combine like terms: 44 + -6 = 38 27 + 5x = 38 + -4x Solving 27 + 5x = 38 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 27 + 5x + 4x = 38 + -4x + 4x Combine like terms: 5x + 4x = 9x 27 + 9x = 38 + -4x + 4x Combine like terms: -4x + 4x = 0 27 + 9x = 38 + 0 27 + 9x = 38 Add '-27' to each side of the equation. 27 + -27 + 9x = 38 + -27 Combine like terms: 27 + -27 = 0 0 + 9x = 38 + -27 9x = 38 + -27 Combine like terms: 38 + -27 = 11 9x = 11 Divide each side by '9'. x = 1.222222222 Simplifying x = 1.222222222
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