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Simplifying 3(x + 5) + -2 = -11 + -4x Reorder the terms: 3(5 + x) + -2 = -11 + -4x (5 * 3 + x * 3) + -2 = -11 + -4x (15 + 3x) + -2 = -11 + -4x Reorder the terms: 15 + -2 + 3x = -11 + -4x Combine like terms: 15 + -2 = 13 13 + 3x = -11 + -4x Solving 13 + 3x = -11 + -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. 13 + 3x + 4x = -11 + -4x + 4x Combine like terms: 3x + 4x = 7x 13 + 7x = -11 + -4x + 4x Combine like terms: -4x + 4x = 0 13 + 7x = -11 + 0 13 + 7x = -11 Add '-13' to each side of the equation. 13 + -13 + 7x = -11 + -13 Combine like terms: 13 + -13 = 0 0 + 7x = -11 + -13 7x = -11 + -13 Combine like terms: -11 + -13 = -24 7x = -24 Divide each side by '7'. x = -3.428571429 Simplifying x = -3.428571429
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