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Simplifying 2(4 + 3) + 2 = -4(x + 1) Combine like terms: 4 + 3 = 7 2(7) + 2 = -4(x + 1) Multiply 2 * 7 14 + 2 = -4(x + 1) Combine like terms: 14 + 2 = 16 16 = -4(x + 1) Reorder the terms: 16 = -4(1 + x) 16 = (1 * -4 + x * -4) 16 = (-4 + -4x) Solving 16 = -4 + -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. 16 + 4x = -4 + -4x + 4x Combine like terms: -4x + 4x = 0 16 + 4x = -4 + 0 16 + 4x = -4 Add '-16' to each side of the equation. 16 + -16 + 4x = -4 + -16 Combine like terms: 16 + -16 = 0 0 + 4x = -4 + -16 4x = -4 + -16 Combine like terms: -4 + -16 = -20 4x = -20 Divide each side by '4'. x = -5 Simplifying x = -5
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