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Simplifying 5x + -34 + 3x = -6(1 + -2x) Reorder the terms: -34 + 5x + 3x = -6(1 + -2x) Combine like terms: 5x + 3x = 8x -34 + 8x = -6(1 + -2x) -34 + 8x = (1 * -6 + -2x * -6) -34 + 8x = (-6 + 12x) Solving -34 + 8x = -6 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -34 + 8x + -12x = -6 + 12x + -12x Combine like terms: 8x + -12x = -4x -34 + -4x = -6 + 12x + -12x Combine like terms: 12x + -12x = 0 -34 + -4x = -6 + 0 -34 + -4x = -6 Add '34' to each side of the equation. -34 + 34 + -4x = -6 + 34 Combine like terms: -34 + 34 = 0 0 + -4x = -6 + 34 -4x = -6 + 34 Combine like terms: -6 + 34 = 28 -4x = 28 Divide each side by '-4'. x = -7 Simplifying x = -7
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