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Simplifying 7x + -34 = -4(x + 3) Reorder the terms: -34 + 7x = -4(x + 3) Reorder the terms: -34 + 7x = -4(3 + x) -34 + 7x = (3 * -4 + x * -4) -34 + 7x = (-12 + -4x) Solving -34 + 7x = -12 + -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. -34 + 7x + 4x = -12 + -4x + 4x Combine like terms: 7x + 4x = 11x -34 + 11x = -12 + -4x + 4x Combine like terms: -4x + 4x = 0 -34 + 11x = -12 + 0 -34 + 11x = -12 Add '34' to each side of the equation. -34 + 34 + 11x = -12 + 34 Combine like terms: -34 + 34 = 0 0 + 11x = -12 + 34 11x = -12 + 34 Combine like terms: -12 + 34 = 22 11x = 22 Divide each side by '11'. x = 2 Simplifying x = 2
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