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