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Simplifying 5x + 12 = -2(6x + 11) Reorder the terms: 12 + 5x = -2(6x + 11) Reorder the terms: 12 + 5x = -2(11 + 6x) 12 + 5x = (11 * -2 + 6x * -2) 12 + 5x = (-22 + -12x) Solving 12 + 5x = -22 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 12 + 5x + 12x = -22 + -12x + 12x Combine like terms: 5x + 12x = 17x 12 + 17x = -22 + -12x + 12x Combine like terms: -12x + 12x = 0 12 + 17x = -22 + 0 12 + 17x = -22 Add '-12' to each side of the equation. 12 + -12 + 17x = -22 + -12 Combine like terms: 12 + -12 = 0 0 + 17x = -22 + -12 17x = -22 + -12 Combine like terms: -22 + -12 = -34 17x = -34 Divide each side by '17'. x = -2 Simplifying x = -2
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