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Simplifying 5(x + -6) = -8x + 35 Reorder the terms: 5(-6 + x) = -8x + 35 (-6 * 5 + x * 5) = -8x + 35 (-30 + 5x) = -8x + 35 Reorder the terms: -30 + 5x = 35 + -8x Solving -30 + 5x = 35 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -30 + 5x + 8x = 35 + -8x + 8x Combine like terms: 5x + 8x = 13x -30 + 13x = 35 + -8x + 8x Combine like terms: -8x + 8x = 0 -30 + 13x = 35 + 0 -30 + 13x = 35 Add '30' to each side of the equation. -30 + 30 + 13x = 35 + 30 Combine like terms: -30 + 30 = 0 0 + 13x = 35 + 30 13x = 35 + 30 Combine like terms: 35 + 30 = 65 13x = 65 Divide each side by '13'. x = 5 Simplifying x = 5
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