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Simplifying 8 + 5(x + -1) + -6(x + -3) = 3(5 + -3x) Reorder the terms: 8 + 5(-1 + x) + -6(x + -3) = 3(5 + -3x) 8 + (-1 * 5 + x * 5) + -6(x + -3) = 3(5 + -3x) 8 + (-5 + 5x) + -6(x + -3) = 3(5 + -3x) Reorder the terms: 8 + -5 + 5x + -6(-3 + x) = 3(5 + -3x) 8 + -5 + 5x + (-3 * -6 + x * -6) = 3(5 + -3x) 8 + -5 + 5x + (18 + -6x) = 3(5 + -3x) Reorder the terms: 8 + -5 + 18 + 5x + -6x = 3(5 + -3x) Combine like terms: 8 + -5 = 3 3 + 18 + 5x + -6x = 3(5 + -3x) Combine like terms: 3 + 18 = 21 21 + 5x + -6x = 3(5 + -3x) Combine like terms: 5x + -6x = -1x 21 + -1x = 3(5 + -3x) 21 + -1x = (5 * 3 + -3x * 3) 21 + -1x = (15 + -9x) Solving 21 + -1x = 15 + -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. 21 + -1x + 9x = 15 + -9x + 9x Combine like terms: -1x + 9x = 8x 21 + 8x = 15 + -9x + 9x Combine like terms: -9x + 9x = 0 21 + 8x = 15 + 0 21 + 8x = 15 Add '-21' to each side of the equation. 21 + -21 + 8x = 15 + -21 Combine like terms: 21 + -21 = 0 0 + 8x = 15 + -21 8x = 15 + -21 Combine like terms: 15 + -21 = -6 8x = -6 Divide each side by '8'. x = -0.75 Simplifying x = -0.75
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