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Simplifying 3(x + -2) = -5(x + 4) + 34 Reorder the terms: 3(-2 + x) = -5(x + 4) + 34 (-2 * 3 + x * 3) = -5(x + 4) + 34 (-6 + 3x) = -5(x + 4) + 34 Reorder the terms: -6 + 3x = -5(4 + x) + 34 -6 + 3x = (4 * -5 + x * -5) + 34 -6 + 3x = (-20 + -5x) + 34 Reorder the terms: -6 + 3x = -20 + 34 + -5x Combine like terms: -20 + 34 = 14 -6 + 3x = 14 + -5x Solving -6 + 3x = 14 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -6 + 3x + 5x = 14 + -5x + 5x Combine like terms: 3x + 5x = 8x -6 + 8x = 14 + -5x + 5x Combine like terms: -5x + 5x = 0 -6 + 8x = 14 + 0 -6 + 8x = 14 Add '6' to each side of the equation. -6 + 6 + 8x = 14 + 6 Combine like terms: -6 + 6 = 0 0 + 8x = 14 + 6 8x = 14 + 6 Combine like terms: 14 + 6 = 20 8x = 20 Divide each side by '8'. x = 2.5 Simplifying x = 2.5
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