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Simplifying -6(x + 4) + 2x + 7 = 7x + 12 Reorder the terms: -6(4 + x) + 2x + 7 = 7x + 12 (4 * -6 + x * -6) + 2x + 7 = 7x + 12 (-24 + -6x) + 2x + 7 = 7x + 12 Reorder the terms: -24 + 7 + -6x + 2x = 7x + 12 Combine like terms: -24 + 7 = -17 -17 + -6x + 2x = 7x + 12 Combine like terms: -6x + 2x = -4x -17 + -4x = 7x + 12 Reorder the terms: -17 + -4x = 12 + 7x Solving -17 + -4x = 12 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -17 + -4x + -7x = 12 + 7x + -7x Combine like terms: -4x + -7x = -11x -17 + -11x = 12 + 7x + -7x Combine like terms: 7x + -7x = 0 -17 + -11x = 12 + 0 -17 + -11x = 12 Add '17' to each side of the equation. -17 + 17 + -11x = 12 + 17 Combine like terms: -17 + 17 = 0 0 + -11x = 12 + 17 -11x = 12 + 17 Combine like terms: 12 + 17 = 29 -11x = 29 Divide each side by '-11'. x = -2.636363636 Simplifying x = -2.636363636
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