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Simplifying 34 + -5x = -3(6x + -4) + 2x Reorder the terms: 34 + -5x = -3(-4 + 6x) + 2x 34 + -5x = (-4 * -3 + 6x * -3) + 2x 34 + -5x = (12 + -18x) + 2x Combine like terms: -18x + 2x = -16x 34 + -5x = 12 + -16x Solving 34 + -5x = 12 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 34 + -5x + 16x = 12 + -16x + 16x Combine like terms: -5x + 16x = 11x 34 + 11x = 12 + -16x + 16x Combine like terms: -16x + 16x = 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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