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Simplifying 6(x + 2) + 4 = -11(x + -5) + -1 Reorder the terms: 6(2 + x) + 4 = -11(x + -5) + -1 (2 * 6 + x * 6) + 4 = -11(x + -5) + -1 (12 + 6x) + 4 = -11(x + -5) + -1 Reorder the terms: 12 + 4 + 6x = -11(x + -5) + -1 Combine like terms: 12 + 4 = 16 16 + 6x = -11(x + -5) + -1 Reorder the terms: 16 + 6x = -11(-5 + x) + -1 16 + 6x = (-5 * -11 + x * -11) + -1 16 + 6x = (55 + -11x) + -1 Reorder the terms: 16 + 6x = 55 + -1 + -11x Combine like terms: 55 + -1 = 54 16 + 6x = 54 + -11x Solving 16 + 6x = 54 + -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. 16 + 6x + 11x = 54 + -11x + 11x Combine like terms: 6x + 11x = 17x 16 + 17x = 54 + -11x + 11x Combine like terms: -11x + 11x = 0 16 + 17x = 54 + 0 16 + 17x = 54 Add '-16' to each side of the equation. 16 + -16 + 17x = 54 + -16 Combine like terms: 16 + -16 = 0 0 + 17x = 54 + -16 17x = 54 + -16 Combine like terms: 54 + -16 = 38 17x = 38 Divide each side by '17'. x = 2.235294118 Simplifying x = 2.235294118
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