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Simplifying 5x + -1(8x + 6) = 3x + -36 Reorder the terms: 5x + -1(6 + 8x) = 3x + -36 5x + (6 * -1 + 8x * -1) = 3x + -36 5x + (-6 + -8x) = 3x + -36 Reorder the terms: -6 + 5x + -8x = 3x + -36 Combine like terms: 5x + -8x = -3x -6 + -3x = 3x + -36 Reorder the terms: -6 + -3x = -36 + 3x Solving -6 + -3x = -36 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -6 + -3x + -3x = -36 + 3x + -3x Combine like terms: -3x + -3x = -6x -6 + -6x = -36 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + -6x = -36 + 0 -6 + -6x = -36 Add '6' to each side of the equation. -6 + 6 + -6x = -36 + 6 Combine like terms: -6 + 6 = 0 0 + -6x = -36 + 6 -6x = -36 + 6 Combine like terms: -36 + 6 = -30 -6x = -30 Divide each side by '-6'. x = 5 Simplifying x = 5
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