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Simplifying 3x + -1(9x + 4) = 2x + 36 Reorder the terms: 3x + -1(4 + 9x) = 2x + 36 3x + (4 * -1 + 9x * -1) = 2x + 36 3x + (-4 + -9x) = 2x + 36 Reorder the terms: -4 + 3x + -9x = 2x + 36 Combine like terms: 3x + -9x = -6x -4 + -6x = 2x + 36 Reorder the terms: -4 + -6x = 36 + 2x Solving -4 + -6x = 36 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -4 + -6x + -2x = 36 + 2x + -2x Combine like terms: -6x + -2x = -8x -4 + -8x = 36 + 2x + -2x Combine like terms: 2x + -2x = 0 -4 + -8x = 36 + 0 -4 + -8x = 36 Add '4' to each side of the equation. -4 + 4 + -8x = 36 + 4 Combine like terms: -4 + 4 = 0 0 + -8x = 36 + 4 -8x = 36 + 4 Combine like terms: 36 + 4 = 40 -8x = 40 Divide each side by '-8'. x = -5 Simplifying x = -5
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