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Simplifying -8x + 5(3x + -6) = -21 + -2x Reorder the terms: -8x + 5(-6 + 3x) = -21 + -2x -8x + (-6 * 5 + 3x * 5) = -21 + -2x -8x + (-30 + 15x) = -21 + -2x Reorder the terms: -30 + -8x + 15x = -21 + -2x Combine like terms: -8x + 15x = 7x -30 + 7x = -21 + -2x Solving -30 + 7x = -21 + -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. -30 + 7x + 2x = -21 + -2x + 2x Combine like terms: 7x + 2x = 9x -30 + 9x = -21 + -2x + 2x Combine like terms: -2x + 2x = 0 -30 + 9x = -21 + 0 -30 + 9x = -21 Add '30' to each side of the equation. -30 + 30 + 9x = -21 + 30 Combine like terms: -30 + 30 = 0 0 + 9x = -21 + 30 9x = -21 + 30 Combine like terms: -21 + 30 = 9 9x = 9 Divide each side by '9'. x = 1 Simplifying x = 1
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