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Simplifying 5(x + -6) = 3 + 8(x + 9) Reorder the terms: 5(-6 + x) = 3 + 8(x + 9) (-6 * 5 + x * 5) = 3 + 8(x + 9) (-30 + 5x) = 3 + 8(x + 9) Reorder the terms: -30 + 5x = 3 + 8(9 + x) -30 + 5x = 3 + (9 * 8 + x * 8) -30 + 5x = 3 + (72 + 8x) Combine like terms: 3 + 72 = 75 -30 + 5x = 75 + 8x Solving -30 + 5x = 75 + 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 = 75 + 8x + -8x Combine like terms: 5x + -8x = -3x -30 + -3x = 75 + 8x + -8x Combine like terms: 8x + -8x = 0 -30 + -3x = 75 + 0 -30 + -3x = 75 Add '30' to each side of the equation. -30 + 30 + -3x = 75 + 30 Combine like terms: -30 + 30 = 0 0 + -3x = 75 + 30 -3x = 75 + 30 Combine like terms: 75 + 30 = 105 -3x = 105 Divide each side by '-3'. x = -35 Simplifying x = -35
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