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Simplifying -7(2x + 3) = -34 + -8x + 7x Reorder the terms: -7(3 + 2x) = -34 + -8x + 7x (3 * -7 + 2x * -7) = -34 + -8x + 7x (-21 + -14x) = -34 + -8x + 7x Combine like terms: -8x + 7x = -1x -21 + -14x = -34 + -1x Solving -21 + -14x = -34 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -21 + -14x + x = -34 + -1x + x Combine like terms: -14x + x = -13x -21 + -13x = -34 + -1x + x Combine like terms: -1x + x = 0 -21 + -13x = -34 + 0 -21 + -13x = -34 Add '21' to each side of the equation. -21 + 21 + -13x = -34 + 21 Combine like terms: -21 + 21 = 0 0 + -13x = -34 + 21 -13x = -34 + 21 Combine like terms: -34 + 21 = -13 -13x = -13 Divide each side by '-13'. x = 1 Simplifying x = 1
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