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Simplifying -4(x + 7) + -2x = -34 + -4x Reorder the terms: -4(7 + x) + -2x = -34 + -4x (7 * -4 + x * -4) + -2x = -34 + -4x (-28 + -4x) + -2x = -34 + -4x Combine like terms: -4x + -2x = -6x -28 + -6x = -34 + -4x Solving -28 + -6x = -34 + -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. -28 + -6x + 4x = -34 + -4x + 4x Combine like terms: -6x + 4x = -2x -28 + -2x = -34 + -4x + 4x Combine like terms: -4x + 4x = 0 -28 + -2x = -34 + 0 -28 + -2x = -34 Add '28' to each side of the equation. -28 + 28 + -2x = -34 + 28 Combine like terms: -28 + 28 = 0 0 + -2x = -34 + 28 -2x = -34 + 28 Combine like terms: -34 + 28 = -6 -2x = -6 Divide each side by '-2'. x = 3 Simplifying x = 3
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