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Simplifying -2(8x + 3) + 5x = -34 + -7x Reorder the terms: -2(3 + 8x) + 5x = -34 + -7x (3 * -2 + 8x * -2) + 5x = -34 + -7x (-6 + -16x) + 5x = -34 + -7x Combine like terms: -16x + 5x = -11x -6 + -11x = -34 + -7x Solving -6 + -11x = -34 + -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. -6 + -11x + 7x = -34 + -7x + 7x Combine like terms: -11x + 7x = -4x -6 + -4x = -34 + -7x + 7x Combine like terms: -7x + 7x = 0 -6 + -4x = -34 + 0 -6 + -4x = -34 Add '6' to each side of the equation. -6 + 6 + -4x = -34 + 6 Combine like terms: -6 + 6 = 0 0 + -4x = -34 + 6 -4x = -34 + 6 Combine like terms: -34 + 6 = -28 -4x = -28 Divide each side by '-4'. x = 7 Simplifying x = 7
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