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Simplifying 5x + -34 = -3(x + 6) Reorder the terms: -34 + 5x = -3(x + 6) Reorder the terms: -34 + 5x = -3(6 + x) -34 + 5x = (6 * -3 + x * -3) -34 + 5x = (-18 + -3x) Solving -34 + 5x = -18 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -34 + 5x + 3x = -18 + -3x + 3x Combine like terms: 5x + 3x = 8x -34 + 8x = -18 + -3x + 3x Combine like terms: -3x + 3x = 0 -34 + 8x = -18 + 0 -34 + 8x = -18 Add '34' to each side of the equation. -34 + 34 + 8x = -18 + 34 Combine like terms: -34 + 34 = 0 0 + 8x = -18 + 34 8x = -18 + 34 Combine like terms: -18 + 34 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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