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Simplifying 5x + 8(3 + -1x) + -2 = 8x + -1(2 + -1x) + -19 5x + (3 * 8 + -1x * 8) + -2 = 8x + -1(2 + -1x) + -19 5x + (24 + -8x) + -2 = 8x + -1(2 + -1x) + -19 Reorder the terms: 24 + -2 + 5x + -8x = 8x + -1(2 + -1x) + -19 Combine like terms: 24 + -2 = 22 22 + 5x + -8x = 8x + -1(2 + -1x) + -19 Combine like terms: 5x + -8x = -3x 22 + -3x = 8x + -1(2 + -1x) + -19 22 + -3x = 8x + (2 * -1 + -1x * -1) + -19 22 + -3x = 8x + (-2 + 1x) + -19 Reorder the terms: 22 + -3x = -2 + -19 + 8x + 1x Combine like terms: -2 + -19 = -21 22 + -3x = -21 + 8x + 1x Combine like terms: 8x + 1x = 9x 22 + -3x = -21 + 9x Solving 22 + -3x = -21 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 22 + -3x + -9x = -21 + 9x + -9x Combine like terms: -3x + -9x = -12x 22 + -12x = -21 + 9x + -9x Combine like terms: 9x + -9x = 0 22 + -12x = -21 + 0 22 + -12x = -21 Add '-22' to each side of the equation. 22 + -22 + -12x = -21 + -22 Combine like terms: 22 + -22 = 0 0 + -12x = -21 + -22 -12x = -21 + -22 Combine like terms: -21 + -22 = -43 -12x = -43 Divide each side by '-12'. x = 3.583333333 Simplifying x = 3.583333333
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