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Simplifying 8x + 34 = -6(1 + -3x) Reorder the terms: 34 + 8x = -6(1 + -3x) 34 + 8x = (1 * -6 + -3x * -6) 34 + 8x = (-6 + 18x) Solving 34 + 8x = -6 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 34 + 8x + -18x = -6 + 18x + -18x Combine like terms: 8x + -18x = -10x 34 + -10x = -6 + 18x + -18x Combine like terms: 18x + -18x = 0 34 + -10x = -6 + 0 34 + -10x = -6 Add '-34' to each side of the equation. 34 + -34 + -10x = -6 + -34 Combine like terms: 34 + -34 = 0 0 + -10x = -6 + -34 -10x = -6 + -34 Combine like terms: -6 + -34 = -40 -10x = -40 Divide each side by '-10'. x = 4 Simplifying x = 4
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