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Simplifying 8x + -1(6x + 2) = 3x + -21 Reorder the terms: 8x + -1(2 + 6x) = 3x + -21 8x + (2 * -1 + 6x * -1) = 3x + -21 8x + (-2 + -6x) = 3x + -21 Reorder the terms: -2 + 8x + -6x = 3x + -21 Combine like terms: 8x + -6x = 2x -2 + 2x = 3x + -21 Reorder the terms: -2 + 2x = -21 + 3x Solving -2 + 2x = -21 + 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. -2 + 2x + -3x = -21 + 3x + -3x Combine like terms: 2x + -3x = -1x -2 + -1x = -21 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + -1x = -21 + 0 -2 + -1x = -21 Add '2' to each side of the equation. -2 + 2 + -1x = -21 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = -21 + 2 -1x = -21 + 2 Combine like terms: -21 + 2 = -19 -1x = -19 Divide each side by '-1'. x = 19 Simplifying x = 19
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