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Simplifying 2x + -5(x + 6) = 36 + 5x Reorder the terms: 2x + -5(6 + x) = 36 + 5x 2x + (6 * -5 + x * -5) = 36 + 5x 2x + (-30 + -5x) = 36 + 5x Reorder the terms: -30 + 2x + -5x = 36 + 5x Combine like terms: 2x + -5x = -3x -30 + -3x = 36 + 5x Solving -30 + -3x = 36 + 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. -30 + -3x + -5x = 36 + 5x + -5x Combine like terms: -3x + -5x = -8x -30 + -8x = 36 + 5x + -5x Combine like terms: 5x + -5x = 0 -30 + -8x = 36 + 0 -30 + -8x = 36 Add '30' to each side of the equation. -30 + 30 + -8x = 36 + 30 Combine like terms: -30 + 30 = 0 0 + -8x = 36 + 30 -8x = 36 + 30 Combine like terms: 36 + 30 = 66 -8x = 66 Divide each side by '-8'. x = -8.25 Simplifying x = -8.25
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